What is the Least Common Multiple of 94146 and 94159?

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 94146 and 94159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94146 and 94159, than apply into the LCM equation.

GCF(94146,94159) = 13
LCM(94146,94159) = ( 94146 × 94159) / 13
LCM(94146,94159) = 8864693214 / 13
LCM(94146,94159) = 681899478

Least Common Multiple (LCM) of 94146 and 94159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94146 and 94159. First we will calculate the prime factors of 94146 and 94159.

Prime Factorization of 94146

Prime Factorization of 94159

Now multiplying the highest exponent prime factors to calculate the LCM of 94146 and 94159.

LCM(94146,94159) = 2¹ × 3¹ × 13¹ × 17¹ × 71¹ × 7243¹
LCM(94146,94159) = 681899478