What is the Least Common Multiple of 50640 and 50646?

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 50640 and 50646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50640 and 50646, than apply into the LCM equation.

GCF(50640,50646) = 6
LCM(50640,50646) = ( 50640 × 50646) / 6
LCM(50640,50646) = 2564713440 / 6
LCM(50640,50646) = 427452240

Least Common Multiple (LCM) of 50640 and 50646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50640 and 50646. First we will calculate the prime factors of 50640 and 50646.

Prime Factorization of 50640

Prime Factorization of 50646

Now multiplying the highest exponent prime factors to calculate the LCM of 50640 and 50646.

LCM(50640,50646) = 2⁴ × 3¹ × 5¹ × 211¹ × 23¹ × 367¹
LCM(50640,50646) = 427452240