What is the Least Common Multiple of 86373 and 86388?

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 86373 and 86388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86373 and 86388, than apply into the LCM equation.

GCF(86373,86388) = 3
LCM(86373,86388) = ( 86373 × 86388) / 3
LCM(86373,86388) = 7461590724 / 3
LCM(86373,86388) = 2487196908

Least Common Multiple (LCM) of 86373 and 86388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86373 and 86388. First we will calculate the prime factors of 86373 and 86388.

Prime Factorization of 86373

Prime Factorization of 86388

Now multiplying the highest exponent prime factors to calculate the LCM of 86373 and 86388.

LCM(86373,86388) = 3³ × 7¹ × 457¹ × 2² × 23¹ × 313¹
LCM(86373,86388) = 2487196908