What is the Least Common Multiple of 87315 and 87332?

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 87315 and 87332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87315 and 87332, than apply into the LCM equation.

GCF(87315,87332) = 1
LCM(87315,87332) = ( 87315 × 87332) / 1
LCM(87315,87332) = 7625393580 / 1
LCM(87315,87332) = 7625393580

Least Common Multiple (LCM) of 87315 and 87332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87315 and 87332. First we will calculate the prime factors of 87315 and 87332.

Prime Factorization of 87315

Prime Factorization of 87332

Now multiplying the highest exponent prime factors to calculate the LCM of 87315 and 87332.

LCM(87315,87332) = 3¹ × 5¹ × 5821¹ × 2² × 7¹ × 3119¹
LCM(87315,87332) = 7625393580