What is the Least Common Multiple of 88360 and 88375?

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 88360 and 88375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88360 and 88375, than apply into the LCM equation.

GCF(88360,88375) = 5
LCM(88360,88375) = ( 88360 × 88375) / 5
LCM(88360,88375) = 7808815000 / 5
LCM(88360,88375) = 1561763000

Least Common Multiple (LCM) of 88360 and 88375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88360 and 88375. First we will calculate the prime factors of 88360 and 88375.

Prime Factorization of 88360

Prime Factorization of 88375

Now multiplying the highest exponent prime factors to calculate the LCM of 88360 and 88375.

LCM(88360,88375) = 2³ × 5³ × 47² × 7¹ × 101¹
LCM(88360,88375) = 1561763000