What is the Least Common Multiple of 94776 and 94782?

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 94782 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 94782, than apply into the LCM equation.

GCF(94776,94782) = 6
LCM(94776,94782) = ( 94776 × 94782) / 6
LCM(94776,94782) = 8983058832 / 6
LCM(94776,94782) = 1497176472

Least Common Multiple (LCM) of 94776 and 94782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94776 and 94782. First we will calculate the prime factors of 94776 and 94782.

Prime Factorization of 94776

Prime Factorization of 94782

Now multiplying the highest exponent prime factors to calculate the LCM of 94776 and 94782.

LCM(94776,94782) = 2³ × 3¹ × 11¹ × 359¹ × 15797¹
LCM(94776,94782) = 1497176472