What is the Least Common Multiple of 94776 and 94794?

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 94794 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 94794, than apply into the LCM equation.

GCF(94776,94794) = 6
LCM(94776,94794) = ( 94776 × 94794) / 6
LCM(94776,94794) = 8984196144 / 6
LCM(94776,94794) = 1497366024

Least Common Multiple (LCM) of 94776 and 94794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94776 and 94794. First we will calculate the prime factors of 94776 and 94794.

Prime Factorization of 94776

Prime Factorization of 94794

Now multiplying the highest exponent prime factors to calculate the LCM of 94776 and 94794.

LCM(94776,94794) = 2³ × 3¹ × 11¹ × 359¹ × 7¹ × 37¹ × 61¹
LCM(94776,94794) = 1497366024