What is the Least Common Multiple of 94875 and 94884?

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 94875 and 94884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94875 and 94884, than apply into the LCM equation.

GCF(94875,94884) = 3
LCM(94875,94884) = ( 94875 × 94884) / 3
LCM(94875,94884) = 9002119500 / 3
LCM(94875,94884) = 3000706500

Least Common Multiple (LCM) of 94875 and 94884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94875 and 94884. First we will calculate the prime factors of 94875 and 94884.

Prime Factorization of 94875

Prime Factorization of 94884

Now multiplying the highest exponent prime factors to calculate the LCM of 94875 and 94884.

LCM(94875,94884) = 3¹ × 5³ × 11¹ × 23¹ × 2² × 7907¹
LCM(94875,94884) = 3000706500