What is the Least Common Multiple of 94893 and 94911?

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 94893 and 94911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94893 and 94911, than apply into the LCM equation.

GCF(94893,94911) = 3
LCM(94893,94911) = ( 94893 × 94911) / 3
LCM(94893,94911) = 9006389523 / 3
LCM(94893,94911) = 3002129841

Least Common Multiple (LCM) of 94893 and 94911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94893 and 94911. First we will calculate the prime factors of 94893 and 94911.

Prime Factorization of 94893

Prime Factorization of 94911

Now multiplying the highest exponent prime factors to calculate the LCM of 94893 and 94911.

LCM(94893,94911) = 3¹ × 47¹ × 673¹ × 17¹ × 1861¹
LCM(94893,94911) = 3002129841