What is the Least Common Multiple of 86355 and 86375?

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 86355 and 86375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86355 and 86375, than apply into the LCM equation.

GCF(86355,86375) = 5
LCM(86355,86375) = ( 86355 × 86375) / 5
LCM(86355,86375) = 7458913125 / 5
LCM(86355,86375) = 1491782625

Least Common Multiple (LCM) of 86355 and 86375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86355 and 86375. First we will calculate the prime factors of 86355 and 86375.

Prime Factorization of 86355

Prime Factorization of 86375

Now multiplying the highest exponent prime factors to calculate the LCM of 86355 and 86375.

LCM(86355,86375) = 3² × 5³ × 19¹ × 101¹ × 691¹
LCM(86355,86375) = 1491782625