What is the Least Common Multiple of 94746 and 94761?

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 94746 and 94761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94746 and 94761, than apply into the LCM equation.

GCF(94746,94761) = 3
LCM(94746,94761) = ( 94746 × 94761) / 3
LCM(94746,94761) = 8978225706 / 3
LCM(94746,94761) = 2992741902

Least Common Multiple (LCM) of 94746 and 94761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94746 and 94761. First we will calculate the prime factors of 94746 and 94761.

Prime Factorization of 94746

Prime Factorization of 94761

Now multiplying the highest exponent prime factors to calculate the LCM of 94746 and 94761.

LCM(94746,94761) = 2¹ × 3² × 15791¹ × 10529¹
LCM(94746,94761) = 2992741902