What is the Least Common Multiple of 73656 and 73674?

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 73656 and 73674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73656 and 73674, than apply into the LCM equation.

GCF(73656,73674) = 18
LCM(73656,73674) = ( 73656 × 73674) / 18
LCM(73656,73674) = 5426532144 / 18
LCM(73656,73674) = 301474008

Least Common Multiple (LCM) of 73656 and 73674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73656 and 73674. First we will calculate the prime factors of 73656 and 73674.

Prime Factorization of 73656

Prime Factorization of 73674

Now multiplying the highest exponent prime factors to calculate the LCM of 73656 and 73674.

LCM(73656,73674) = 2³ × 3³ × 11¹ × 31¹ × 4093¹
LCM(73656,73674) = 301474008