What is the Least Common Multiple of 87312 and 87325?

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 87312 and 87325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87312 and 87325, than apply into the LCM equation.

GCF(87312,87325) = 1
LCM(87312,87325) = ( 87312 × 87325) / 1
LCM(87312,87325) = 7624520400 / 1
LCM(87312,87325) = 7624520400

Least Common Multiple (LCM) of 87312 and 87325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87312 and 87325. First we will calculate the prime factors of 87312 and 87325.

Prime Factorization of 87312

Prime Factorization of 87325

Now multiplying the highest exponent prime factors to calculate the LCM of 87312 and 87325.

LCM(87312,87325) = 2⁴ × 3¹ × 17¹ × 107¹ × 5² × 7¹ × 499¹
LCM(87312,87325) = 7624520400