What is the Least Common Multiple of 50688 and 50704?

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 50688 and 50704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50688 and 50704, than apply into the LCM equation.

GCF(50688,50704) = 16
LCM(50688,50704) = ( 50688 × 50704) / 16
LCM(50688,50704) = 2570084352 / 16
LCM(50688,50704) = 160630272

Least Common Multiple (LCM) of 50688 and 50704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50688 and 50704. First we will calculate the prime factors of 50688 and 50704.

Prime Factorization of 50688

Prime Factorization of 50704

Now multiplying the highest exponent prime factors to calculate the LCM of 50688 and 50704.

LCM(50688,50704) = 2⁹ × 3² × 11¹ × 3169¹
LCM(50688,50704) = 160630272