What is the Least Common Multiple of 94688 and 94704?

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 94688 and 94704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94688 and 94704, than apply into the LCM equation.

GCF(94688,94704) = 16
LCM(94688,94704) = ( 94688 × 94704) / 16
LCM(94688,94704) = 8967332352 / 16
LCM(94688,94704) = 560458272

Least Common Multiple (LCM) of 94688 and 94704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94688 and 94704. First we will calculate the prime factors of 94688 and 94704.

Prime Factorization of 94688

Prime Factorization of 94704

Now multiplying the highest exponent prime factors to calculate the LCM of 94688 and 94704.

LCM(94688,94704) = 2⁵ × 11¹ × 269¹ × 3¹ × 1973¹
LCM(94688,94704) = 560458272