What is the Least Common Multiple of 43656 and 43674?

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 43656 and 43674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43656 and 43674, than apply into the LCM equation.

GCF(43656,43674) = 6
LCM(43656,43674) = ( 43656 × 43674) / 6
LCM(43656,43674) = 1906632144 / 6
LCM(43656,43674) = 317772024

Least Common Multiple (LCM) of 43656 and 43674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43656 and 43674. First we will calculate the prime factors of 43656 and 43674.

Prime Factorization of 43656

Prime Factorization of 43674

Now multiplying the highest exponent prime factors to calculate the LCM of 43656 and 43674.

LCM(43656,43674) = 2³ × 3¹ × 17¹ × 107¹ × 29¹ × 251¹
LCM(43656,43674) = 317772024