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# WHAT IS THE DIFFERENCE BETWEEN HCF AND LCM ?

Hi!

The HCF of two or more numbers is the largest common factor of the given numbers. It is the smallest number which divides the two or more given numbers.
The LCM of two or more numbers is the smallest number that is a common multiple of two or more numbers. It is the smallest number which is divisible by two or more given numbers.

Consider two numbers 120 and 144.
Prime factorization of 120 = 2 × 2 × 2 × 3 × 5
Prime factorization of 144 = 2 × 2 × 2 × 2 × 3 × 3
HCF of 120 and 144 = 2 × 2 × 2 × 3 = 24. 24 is the smallest number which divides both 120 and 144.
LCM of 120 and 144 = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720. 720 is the smallest number which is divisible by both 120 and 144.

Cheers!

Posted by Lalit Mehraon 19/8/11

This conversation is already closed by Expert

HCF is the highest common factor and LCM is the lowest common factor between the 2 or more specific numbers.......!!

Posted by Tanya Sethi(Delhi Public School) on 18/8/11

in hcf we find the highest common factor and in lc we take out lowest common factor of 2 or more than 2 numbers

Posted by Ankit(CHINMAYA VIDYALAYA) on 18/8/11

HCF-HIGHEST COMMON FACTOR

LCM- LOWEST COMMON FACTOR

1 IS ALWAYS COMMON FACTOR

Posted by Shivani(D.A.V. PUBLIC SCHOOL) on 18/8/11

Hi

The HCF of two or more numbers is the largest common factor of the given numbers. It is the smallest number which divides the two or more given numbers.
The LCM of two or more numbers is the smallest number that is a common multiple of two or more numbers. It is the smallest number which is divisible by two or more given numbers.

Cheers