What is the Least Common Multiple of 94640 and 94646?

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 94640 and 94646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94640 and 94646, than apply into the LCM equation.

GCF(94640,94646) = 2
LCM(94640,94646) = ( 94640 × 94646) / 2
LCM(94640,94646) = 8957297440 / 2
LCM(94640,94646) = 4478648720

Least Common Multiple (LCM) of 94640 and 94646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94640 and 94646. First we will calculate the prime factors of 94640 and 94646.

Prime Factorization of 94640

Prime Factorization of 94646

Now multiplying the highest exponent prime factors to calculate the LCM of 94640 and 94646.

LCM(94640,94646) = 2⁴ × 5¹ × 7¹ × 13² × 37¹ × 1279¹
LCM(94640,94646) = 4478648720