What is the Least Common Multiple of 94515 and 94533?

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 94515 and 94533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94515 and 94533, than apply into the LCM equation.

GCF(94515,94533) = 3
LCM(94515,94533) = ( 94515 × 94533) / 3
LCM(94515,94533) = 8934786495 / 3
LCM(94515,94533) = 2978262165

Least Common Multiple (LCM) of 94515 and 94533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94515 and 94533. First we will calculate the prime factors of 94515 and 94533.

Prime Factorization of 94515

Prime Factorization of 94533

Now multiplying the highest exponent prime factors to calculate the LCM of 94515 and 94533.

LCM(94515,94533) = 3¹ × 5¹ × 6301¹ × 31511¹
LCM(94515,94533) = 2978262165