HCF and LCM Using Prime Factorisation
HCF and LCM Using Prime Factorisation
HCF and LCM Using Prime Factorisation:
Let a and b be two non-negative integers, not both zero. We denote the highest common factor (HCF) and least common multiple (LCM) of a and b by HCF(a,b) and LCM(a,b), respectively.
HCF(a,b) = Product of the smallest power of each common prime factor in the numbers.
LCM (a,b) = Product of the greatest power of each common prime factor in the numbers.
Example: Find the LCM and HCF of 6 and 20 by the prime factorisation method.
6 = 2 X 3
20= 2 X 2 X 5
HCF (6,20) = 2 as 2 is the only common factor of 6 and 20
LCM (6, 20) = 2 X 2 X 3 X 5= 60
From the above relation we can state that
HCF(a,b) X LCM(a,b) = a X b
Find the HCF of 410 and 96. | |||
| Right Option : A | |||
| View Explanation | |||
What is HCF of 2, 43 , and 47 ? | |||
| Right Option : D | |||
| View Explanation | |||
The L.C.M. of 44 and 90 is ______________ | |||
| Right Option : B | |||
| View Explanation | |||
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