What is the Least Common Multiple of 8656 and 8674?

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 8656 and 8674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8656 and 8674, than apply into the LCM equation.

GCF(8656,8674) = 2
LCM(8656,8674) = ( 8656 × 8674) / 2
LCM(8656,8674) = 75082144 / 2
LCM(8656,8674) = 37541072

Least Common Multiple (LCM) of 8656 and 8674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8656 and 8674. First we will calculate the prime factors of 8656 and 8674.

Prime Factorization of 8656

Prime Factorization of 8674

Now multiplying the highest exponent prime factors to calculate the LCM of 8656 and 8674.

LCM(8656,8674) = 2⁴ × 541¹ × 4337¹
LCM(8656,8674) = 37541072