What is the Least Common Multiple of 94138 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 94138 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 94138 and 94148, than apply into the LCM equation.

GCF(94138,94148) = 2
LCM(94138,94148) = ( 94138 × 94148) / 2
LCM(94138,94148) = 8862904424 / 2
LCM(94138,94148) = 4431452212

Least Common Multiple (LCM) of 94138 and 94148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94138 and 94148. First we will calculate the prime factors of 94138 and 94148.

Prime Factorization of 94138

Prime Factorization of 94148

Now multiplying the highest exponent prime factors to calculate the LCM of 94138 and 94148.

LCM(94138,94148) = 2² × 11² × 389¹ × 23537¹
LCM(94138,94148) = 4431452212