What is the Least Common Multiple of 94665 and 94680?

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 94665 and 94680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94665 and 94680, than apply into the LCM equation.

GCF(94665,94680) = 15
LCM(94665,94680) = ( 94665 × 94680) / 15
LCM(94665,94680) = 8962882200 / 15
LCM(94665,94680) = 597525480

Least Common Multiple (LCM) of 94665 and 94680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94665 and 94680. First we will calculate the prime factors of 94665 and 94680.

Prime Factorization of 94665

Prime Factorization of 94680

Now multiplying the highest exponent prime factors to calculate the LCM of 94665 and 94680.

LCM(94665,94680) = 3² × 5¹ × 6311¹ × 2³ × 263¹
LCM(94665,94680) = 597525480