What is the Least Common Multiple of 18252 and 18272?

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 18252 and 18272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18252 and 18272, than apply into the LCM equation.

GCF(18252,18272) = 4
LCM(18252,18272) = ( 18252 × 18272) / 4
LCM(18252,18272) = 333500544 / 4
LCM(18252,18272) = 83375136

Least Common Multiple (LCM) of 18252 and 18272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18252 and 18272. First we will calculate the prime factors of 18252 and 18272.

Prime Factorization of 18252

Prime Factorization of 18272

Now multiplying the highest exponent prime factors to calculate the LCM of 18252 and 18272.

LCM(18252,18272) = 2⁵ × 3³ × 13² × 571¹
LCM(18252,18272) = 83375136