What is the Least Common Multiple of 81596 and 81601?

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 81596 and 81601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81596 and 81601, than apply into the LCM equation.

GCF(81596,81601) = 1
LCM(81596,81601) = ( 81596 × 81601) / 1
LCM(81596,81601) = 6658315196 / 1
LCM(81596,81601) = 6658315196

Least Common Multiple (LCM) of 81596 and 81601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81596 and 81601. First we will calculate the prime factors of 81596 and 81601.

Prime Factorization of 81596

Prime Factorization of 81601

Now multiplying the highest exponent prime factors to calculate the LCM of 81596 and 81601.

LCM(81596,81601) = 2² × 20399¹ × 13¹ × 6277¹
LCM(81596,81601) = 6658315196