What is the Least Common Multiple of 97623 and 97641?

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 97623 and 97641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97623 and 97641, than apply into the LCM equation.

GCF(97623,97641) = 9
LCM(97623,97641) = ( 97623 × 97641) / 9
LCM(97623,97641) = 9532007343 / 9
LCM(97623,97641) = 1059111927

Least Common Multiple (LCM) of 97623 and 97641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97623 and 97641. First we will calculate the prime factors of 97623 and 97641.

Prime Factorization of 97623

Prime Factorization of 97641

Now multiplying the highest exponent prime factors to calculate the LCM of 97623 and 97641.

LCM(97623,97641) = 3² × 10847¹ × 19¹ × 571¹
LCM(97623,97641) = 1059111927