What is the Least Common Multiple of 74584 and 74601?

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 74584 and 74601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74584 and 74601, than apply into the LCM equation.

GCF(74584,74601) = 1
LCM(74584,74601) = ( 74584 × 74601) / 1
LCM(74584,74601) = 5564040984 / 1
LCM(74584,74601) = 5564040984

Least Common Multiple (LCM) of 74584 and 74601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74584 and 74601. First we will calculate the prime factors of 74584 and 74601.

Prime Factorization of 74584

Prime Factorization of 74601

Now multiplying the highest exponent prime factors to calculate the LCM of 74584 and 74601.

LCM(74584,74601) = 2³ × 9323¹ × 3⁵ × 307¹
LCM(74584,74601) = 5564040984