What is the Least Common Multiple of 87225 and 87237?

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 87225 and 87237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87225 and 87237, than apply into the LCM equation.

GCF(87225,87237) = 3
LCM(87225,87237) = ( 87225 × 87237) / 3
LCM(87225,87237) = 7609247325 / 3
LCM(87225,87237) = 2536415775

Least Common Multiple (LCM) of 87225 and 87237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87225 and 87237. First we will calculate the prime factors of 87225 and 87237.

Prime Factorization of 87225

Prime Factorization of 87237

Now multiplying the highest exponent prime factors to calculate the LCM of 87225 and 87237.

LCM(87225,87237) = 3⁵ × 5² × 1163¹ × 359¹
LCM(87225,87237) = 2536415775