# Relation between lcm and Hcf

2
by kiranmaikoka

2014-08-18T12:55:17+05:30
For any two given numbers, the product of their LCM and HCF is equal to the product of the numbers themselves. The HCF of any set of numbers is smaller than or equal to the smallest number. The LCM of any set of numbers is greater than or equal to the largest number. The HCF of any set of numbers is a factor of their LCM, and the LCM is a multiple of their HCF. The LCM of the given numbers is a multiple of their HCF. If the HCF of two numbers is one of the numbers, then their LCM is the other number. The HCF of two co-prime numbers is 1, and their LCM is the product of the numbers themselves.
Lcm= lowest common mutiple
Hcf=highest common factor
2014-08-18T13:08:48+05:30
If A and B are two numbers.
LCF of  A, B is L
HCF of A, B is H

Then A×B = L×H

if numbers are greater than two, then
if A, B and C are numbers, then
LCM(A, B, C) = LCM(LCM(A, B), C)
and we can use the product relationship

Simillarly
LCM(A, B, C, D, ....) = LCM(LCM(LCM(C, D....), B), A)