What is the Least Common Multiple of 50790 and 50808?

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 50790 and 50808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50790 and 50808, than apply into the LCM equation.

GCF(50790,50808) = 6
LCM(50790,50808) = ( 50790 × 50808) / 6
LCM(50790,50808) = 2580538320 / 6
LCM(50790,50808) = 430089720

Least Common Multiple (LCM) of 50790 and 50808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50790 and 50808. First we will calculate the prime factors of 50790 and 50808.

Prime Factorization of 50790

Prime Factorization of 50808

Now multiplying the highest exponent prime factors to calculate the LCM of 50790 and 50808.

LCM(50790,50808) = 2³ × 3¹ × 5¹ × 1693¹ × 29¹ × 73¹
LCM(50790,50808) = 430089720