What is the Least Common Multiple of 87210 and 87225?

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 87210 and 87225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87210 and 87225, than apply into the LCM equation.

GCF(87210,87225) = 15
LCM(87210,87225) = ( 87210 × 87225) / 15
LCM(87210,87225) = 7606892250 / 15
LCM(87210,87225) = 507126150

Least Common Multiple (LCM) of 87210 and 87225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87210 and 87225. First we will calculate the prime factors of 87210 and 87225.

Prime Factorization of 87210

Prime Factorization of 87225

Now multiplying the highest exponent prime factors to calculate the LCM of 87210 and 87225.

LCM(87210,87225) = 2¹ × 3³ × 5² × 17¹ × 19¹ × 1163¹
LCM(87210,87225) = 507126150