What is the Least Common Multiple of 97629 and 97644?

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 97629 and 97644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97629 and 97644, than apply into the LCM equation.

GCF(97629,97644) = 3
LCM(97629,97644) = ( 97629 × 97644) / 3
LCM(97629,97644) = 9532886076 / 3
LCM(97629,97644) = 3177628692

Least Common Multiple (LCM) of 97629 and 97644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97629 and 97644. First we will calculate the prime factors of 97629 and 97644.

Prime Factorization of 97629

Prime Factorization of 97644

Now multiplying the highest exponent prime factors to calculate the LCM of 97629 and 97644.

LCM(97629,97644) = 3¹ × 7¹ × 4649¹ × 2² × 79¹ × 103¹
LCM(97629,97644) = 3177628692