What is the Least Common Multiple of 4596 and 4601?

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 4596 and 4601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4596 and 4601, than apply into the LCM equation.

GCF(4596,4601) = 1
LCM(4596,4601) = ( 4596 × 4601) / 1
LCM(4596,4601) = 21146196 / 1
LCM(4596,4601) = 21146196

Least Common Multiple (LCM) of 4596 and 4601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4596 and 4601. First we will calculate the prime factors of 4596 and 4601.

Prime Factorization of 4596

Prime Factorization of 4601

Now multiplying the highest exponent prime factors to calculate the LCM of 4596 and 4601.

LCM(4596,4601) = 2² × 3¹ × 383¹ × 43¹ × 107¹
LCM(4596,4601) = 21146196