What is the Least Common Multiple of 94875 and 94890?

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 94890 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 94890, than apply into the LCM equation.

GCF(94875,94890) = 15
LCM(94875,94890) = ( 94875 × 94890) / 15
LCM(94875,94890) = 9002688750 / 15
LCM(94875,94890) = 600179250

Least Common Multiple (LCM) of 94875 and 94890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94875 and 94890. First we will calculate the prime factors of 94875 and 94890.

Prime Factorization of 94875

Prime Factorization of 94890

Now multiplying the highest exponent prime factors to calculate the LCM of 94875 and 94890.

LCM(94875,94890) = 3¹ × 5³ × 11¹ × 23¹ × 2¹ × 3163¹
LCM(94875,94890) = 600179250