What is the Least Common Multiple of 8654 and 8672?

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 8654 and 8672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8654 and 8672, than apply into the LCM equation.

GCF(8654,8672) = 2
LCM(8654,8672) = ( 8654 × 8672) / 2
LCM(8654,8672) = 75047488 / 2
LCM(8654,8672) = 37523744

Least Common Multiple (LCM) of 8654 and 8672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8654 and 8672. First we will calculate the prime factors of 8654 and 8672.

Prime Factorization of 8654

Prime Factorization of 8672

Now multiplying the highest exponent prime factors to calculate the LCM of 8654 and 8672.

LCM(8654,8672) = 2⁵ × 4327¹ × 271¹
LCM(8654,8672) = 37523744