What is the Least Common Multiple of 87325 and 87342?

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 87325 and 87342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87325 and 87342, than apply into the LCM equation.

GCF(87325,87342) = 1
LCM(87325,87342) = ( 87325 × 87342) / 1
LCM(87325,87342) = 7627140150 / 1
LCM(87325,87342) = 7627140150

Least Common Multiple (LCM) of 87325 and 87342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87325 and 87342. First we will calculate the prime factors of 87325 and 87342.

Prime Factorization of 87325

Prime Factorization of 87342

Now multiplying the highest exponent prime factors to calculate the LCM of 87325 and 87342.

LCM(87325,87342) = 5² × 7¹ × 499¹ × 2¹ × 3¹ × 14557¹
LCM(87325,87342) = 7627140150