What is the Least Common Multiple of 94139 and 94148?

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 94139 and 94148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94139 and 94148, than apply into the LCM equation.

GCF(94139,94148) = 1
LCM(94139,94148) = ( 94139 × 94148) / 1
LCM(94139,94148) = 8862998572 / 1
LCM(94139,94148) = 8862998572

Least Common Multiple (LCM) of 94139 and 94148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94139 and 94148. First we will calculate the prime factors of 94139 and 94148.

Prime Factorization of 94139

Prime Factorization of 94148

Now multiplying the highest exponent prime factors to calculate the LCM of 94139 and 94148.

LCM(94139,94148) = 23¹ × 4093¹ × 2² × 23537¹
LCM(94139,94148) = 8862998572