What is the Least Common Multiple of 94150 and 94164?

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 94150 and 94164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94150 and 94164, than apply into the LCM equation.

GCF(94150,94164) = 14
LCM(94150,94164) = ( 94150 × 94164) / 14
LCM(94150,94164) = 8865540600 / 14
LCM(94150,94164) = 633252900

Least Common Multiple (LCM) of 94150 and 94164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94150 and 94164. First we will calculate the prime factors of 94150 and 94164.

Prime Factorization of 94150

Prime Factorization of 94164

Now multiplying the highest exponent prime factors to calculate the LCM of 94150 and 94164.

LCM(94150,94164) = 2² × 5² × 7¹ × 269¹ × 3¹ × 19¹ × 59¹
LCM(94150,94164) = 633252900