What is the Least Common Multiple of 86364 and 86370?

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 86364 and 86370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86364 and 86370, than apply into the LCM equation.

GCF(86364,86370) = 6
LCM(86364,86370) = ( 86364 × 86370) / 6
LCM(86364,86370) = 7459258680 / 6
LCM(86364,86370) = 1243209780

Least Common Multiple (LCM) of 86364 and 86370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86364 and 86370. First we will calculate the prime factors of 86364 and 86370.

Prime Factorization of 86364

Prime Factorization of 86370

Now multiplying the highest exponent prime factors to calculate the LCM of 86364 and 86370.

LCM(86364,86370) = 2² × 3² × 2399¹ × 5¹ × 2879¹
LCM(86364,86370) = 1243209780