What is the Least Common Multiple of 50670 and 50680?

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 50670 and 50680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50670 and 50680, than apply into the LCM equation.

GCF(50670,50680) = 10
LCM(50670,50680) = ( 50670 × 50680) / 10
LCM(50670,50680) = 2567955600 / 10
LCM(50670,50680) = 256795560

Least Common Multiple (LCM) of 50670 and 50680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50670 and 50680. First we will calculate the prime factors of 50670 and 50680.

Prime Factorization of 50670

Prime Factorization of 50680

Now multiplying the highest exponent prime factors to calculate the LCM of 50670 and 50680.

LCM(50670,50680) = 2³ × 3² × 5¹ × 563¹ × 7¹ × 181¹
LCM(50670,50680) = 256795560