What is the Least Common Multiple of 94776 and 94791?

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 94776 and 94791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94776 and 94791, than apply into the LCM equation.

GCF(94776,94791) = 3
LCM(94776,94791) = ( 94776 × 94791) / 3
LCM(94776,94791) = 8983911816 / 3
LCM(94776,94791) = 2994637272

Least Common Multiple (LCM) of 94776 and 94791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94776 and 94791. First we will calculate the prime factors of 94776 and 94791.

Prime Factorization of 94776

Prime Factorization of 94791

Now multiplying the highest exponent prime factors to calculate the LCM of 94776 and 94791.

LCM(94776,94791) = 2³ × 3¹ × 11¹ × 359¹ × 19¹ × 1663¹
LCM(94776,94791) = 2994637272