What is the Least Common Multiple of 88656 and 88674?

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 88656 and 88674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88656 and 88674, than apply into the LCM equation.

GCF(88656,88674) = 6
LCM(88656,88674) = ( 88656 × 88674) / 6
LCM(88656,88674) = 7861482144 / 6
LCM(88656,88674) = 1310247024

Least Common Multiple (LCM) of 88656 and 88674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88656 and 88674. First we will calculate the prime factors of 88656 and 88674.

Prime Factorization of 88656

Prime Factorization of 88674

Now multiplying the highest exponent prime factors to calculate the LCM of 88656 and 88674.

LCM(88656,88674) = 2⁴ × 3¹ × 1847¹ × 14779¹
LCM(88656,88674) = 1310247024