What is the Least Common Multiple of 79623 and 79641?

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 79623 and 79641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79623 and 79641, than apply into the LCM equation.

GCF(79623,79641) = 9
LCM(79623,79641) = ( 79623 × 79641) / 9
LCM(79623,79641) = 6341255343 / 9
LCM(79623,79641) = 704583927

Least Common Multiple (LCM) of 79623 and 79641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79623 and 79641. First we will calculate the prime factors of 79623 and 79641.

Prime Factorization of 79623

Prime Factorization of 79641

Now multiplying the highest exponent prime factors to calculate the LCM of 79623 and 79641.

LCM(79623,79641) = 3⁴ × 983¹ × 8849¹
LCM(79623,79641) = 704583927