What is the Least Common Multiple of 60820 and 60825?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60820 and 60825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60820 and 60825, than apply into the LCM equation.

GCF(60820,60825) = 5
LCM(60820,60825) = ( 60820 × 60825) / 5
LCM(60820,60825) = 3699376500 / 5
LCM(60820,60825) = 739875300

Least Common Multiple (LCM) of 60820 and 60825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60820 and 60825. First we will calculate the prime factors of 60820 and 60825.

Prime Factorization of 60820

Prime Factorization of 60825

Now multiplying the highest exponent prime factors to calculate the LCM of 60820 and 60825.

LCM(60820,60825) = 2² × 5² × 3041¹ × 3¹ × 811¹
LCM(60820,60825) = 739875300