What is the Least Common Multiple of 18616 and 18628?

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 18616 and 18628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18616 and 18628, than apply into the LCM equation.

GCF(18616,18628) = 4
LCM(18616,18628) = ( 18616 × 18628) / 4
LCM(18616,18628) = 346778848 / 4
LCM(18616,18628) = 86694712

Least Common Multiple (LCM) of 18616 and 18628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18616 and 18628. First we will calculate the prime factors of 18616 and 18628.

Prime Factorization of 18616

Prime Factorization of 18628

Now multiplying the highest exponent prime factors to calculate the LCM of 18616 and 18628.

LCM(18616,18628) = 2³ × 13¹ × 179¹ × 4657¹
LCM(18616,18628) = 86694712