What is the Least Common Multiple of 74658 and 74672?

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 74658 and 74672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74658 and 74672, than apply into the LCM equation.

GCF(74658,74672) = 2
LCM(74658,74672) = ( 74658 × 74672) / 2
LCM(74658,74672) = 5574862176 / 2
LCM(74658,74672) = 2787431088

Least Common Multiple (LCM) of 74658 and 74672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74658 and 74672. First we will calculate the prime factors of 74658 and 74672.

Prime Factorization of 74658

Prime Factorization of 74672

Now multiplying the highest exponent prime factors to calculate the LCM of 74658 and 74672.

LCM(74658,74672) = 2⁴ × 3¹ × 23¹ × 541¹ × 13¹ × 359¹
LCM(74658,74672) = 2787431088