What is the Least Common Multiple of 87355 and 87375?

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 87355 and 87375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87355 and 87375, than apply into the LCM equation.

GCF(87355,87375) = 5
LCM(87355,87375) = ( 87355 × 87375) / 5
LCM(87355,87375) = 7632643125 / 5
LCM(87355,87375) = 1526528625

Least Common Multiple (LCM) of 87355 and 87375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87355 and 87375. First we will calculate the prime factors of 87355 and 87375.

Prime Factorization of 87355

Prime Factorization of 87375

Now multiplying the highest exponent prime factors to calculate the LCM of 87355 and 87375.

LCM(87355,87375) = 5³ × 17471¹ × 3¹ × 233¹
LCM(87355,87375) = 1526528625