What is the Least Common Multiple of 94647 and 94662?

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 94647 and 94662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94647 and 94662, than apply into the LCM equation.

GCF(94647,94662) = 3
LCM(94647,94662) = ( 94647 × 94662) / 3
LCM(94647,94662) = 8959474314 / 3
LCM(94647,94662) = 2986491438

Least Common Multiple (LCM) of 94647 and 94662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94647 and 94662. First we will calculate the prime factors of 94647 and 94662.

Prime Factorization of 94647

Prime Factorization of 94662

Now multiplying the highest exponent prime factors to calculate the LCM of 94647 and 94662.

LCM(94647,94662) = 3³ × 7¹ × 4507¹ × 2¹ × 1753¹
LCM(94647,94662) = 2986491438