What is the Least Common Multiple of 89375 and 89388?

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 89375 and 89388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89375 and 89388, than apply into the LCM equation.

GCF(89375,89388) = 13
LCM(89375,89388) = ( 89375 × 89388) / 13
LCM(89375,89388) = 7989052500 / 13
LCM(89375,89388) = 614542500

Least Common Multiple (LCM) of 89375 and 89388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89375 and 89388. First we will calculate the prime factors of 89375 and 89388.

Prime Factorization of 89375

Prime Factorization of 89388

Now multiplying the highest exponent prime factors to calculate the LCM of 89375 and 89388.

LCM(89375,89388) = 5⁴ × 11¹ × 13¹ × 2² × 3² × 191¹
LCM(89375,89388) = 614542500