What is the Least Common Multiple of 18208 and 18212?

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 18208 and 18212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18208 and 18212, than apply into the LCM equation.

GCF(18208,18212) = 4
LCM(18208,18212) = ( 18208 × 18212) / 4
LCM(18208,18212) = 331604096 / 4
LCM(18208,18212) = 82901024

Least Common Multiple (LCM) of 18208 and 18212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18208 and 18212. First we will calculate the prime factors of 18208 and 18212.

Prime Factorization of 18208

Prime Factorization of 18212

Now multiplying the highest exponent prime factors to calculate the LCM of 18208 and 18212.

LCM(18208,18212) = 2⁵ × 569¹ × 29¹ × 157¹
LCM(18208,18212) = 82901024