What is the Least Common Multiple of 8355 and 8364?

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 8355 and 8364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8355 and 8364, than apply into the LCM equation.

GCF(8355,8364) = 3
LCM(8355,8364) = ( 8355 × 8364) / 3
LCM(8355,8364) = 69881220 / 3
LCM(8355,8364) = 23293740

Least Common Multiple (LCM) of 8355 and 8364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8355 and 8364. First we will calculate the prime factors of 8355 and 8364.

Prime Factorization of 8355

Prime Factorization of 8364

Now multiplying the highest exponent prime factors to calculate the LCM of 8355 and 8364.

LCM(8355,8364) = 3¹ × 5¹ × 557¹ × 2² × 17¹ × 41¹
LCM(8355,8364) = 23293740