What is the Least Common Multiple of 94680 and 94688?

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 94680 and 94688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94680 and 94688, than apply into the LCM equation.

GCF(94680,94688) = 8
LCM(94680,94688) = ( 94680 × 94688) / 8
LCM(94680,94688) = 8965059840 / 8
LCM(94680,94688) = 1120632480

Least Common Multiple (LCM) of 94680 and 94688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94680 and 94688. First we will calculate the prime factors of 94680 and 94688.

Prime Factorization of 94680

Prime Factorization of 94688

Now multiplying the highest exponent prime factors to calculate the LCM of 94680 and 94688.

LCM(94680,94688) = 2⁵ × 3² × 5¹ × 263¹ × 11¹ × 269¹
LCM(94680,94688) = 1120632480