What is the Least Common Multiple of 86355 and 86364?

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 86364 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 86364, than apply into the LCM equation.

GCF(86355,86364) = 9
LCM(86355,86364) = ( 86355 × 86364) / 9
LCM(86355,86364) = 7457963220 / 9
LCM(86355,86364) = 828662580

Least Common Multiple (LCM) of 86355 and 86364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86355 and 86364. First we will calculate the prime factors of 86355 and 86364.

Prime Factorization of 86355

Prime Factorization of 86364

Now multiplying the highest exponent prime factors to calculate the LCM of 86355 and 86364.

LCM(86355,86364) = 3² × 5¹ × 19¹ × 101¹ × 2² × 2399¹
LCM(86355,86364) = 828662580