What is the Least Common Multiple of 94129 and 94146?

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 94129 and 94146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94129 and 94146, than apply into the LCM equation.

GCF(94129,94146) = 17
LCM(94129,94146) = ( 94129 × 94146) / 17
LCM(94129,94146) = 8861868834 / 17
LCM(94129,94146) = 521286402

Least Common Multiple (LCM) of 94129 and 94146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94129 and 94146. First we will calculate the prime factors of 94129 and 94146.

Prime Factorization of 94129

Prime Factorization of 94146

Now multiplying the highest exponent prime factors to calculate the LCM of 94129 and 94146.

LCM(94129,94146) = 7² × 17¹ × 113¹ × 2¹ × 3¹ × 13¹ × 71¹
LCM(94129,94146) = 521286402