What is the Least Common Multiple of 40596 and 40601?

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 40596 and 40601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40596 and 40601, than apply into the LCM equation.

GCF(40596,40601) = 1
LCM(40596,40601) = ( 40596 × 40601) / 1
LCM(40596,40601) = 1648238196 / 1
LCM(40596,40601) = 1648238196

Least Common Multiple (LCM) of 40596 and 40601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40596 and 40601. First we will calculate the prime factors of 40596 and 40601.

Prime Factorization of 40596

Prime Factorization of 40601

Now multiplying the highest exponent prime factors to calculate the LCM of 40596 and 40601.

LCM(40596,40601) = 2² × 3¹ × 17¹ × 199¹ × 11¹ × 3691¹
LCM(40596,40601) = 1648238196