What is the Least Common Multiple of 74984 and 74997?

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 74984 and 74997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74984 and 74997, than apply into the LCM equation.

GCF(74984,74997) = 13
LCM(74984,74997) = ( 74984 × 74997) / 13
LCM(74984,74997) = 5623575048 / 13
LCM(74984,74997) = 432582696

Least Common Multiple (LCM) of 74984 and 74997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74984 and 74997. First we will calculate the prime factors of 74984 and 74997.

Prime Factorization of 74984

Prime Factorization of 74997

Now multiplying the highest exponent prime factors to calculate the LCM of 74984 and 74997.

LCM(74984,74997) = 2³ × 7¹ × 13¹ × 103¹ × 3² × 641¹
LCM(74984,74997) = 432582696