What is the Least Common Multiple of 87375 and 87383?

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 87375 and 87383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87375 and 87383, than apply into the LCM equation.

GCF(87375,87383) = 1
LCM(87375,87383) = ( 87375 × 87383) / 1
LCM(87375,87383) = 7635089625 / 1
LCM(87375,87383) = 7635089625

Least Common Multiple (LCM) of 87375 and 87383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87375 and 87383. First we will calculate the prime factors of 87375 and 87383.

Prime Factorization of 87375

Prime Factorization of 87383

Now multiplying the highest exponent prime factors to calculate the LCM of 87375 and 87383.

LCM(87375,87383) = 3¹ × 5³ × 233¹ × 87383¹
LCM(87375,87383) = 7635089625