What is the Least Common Multiple of 50670 and 50685?

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 50685 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 50685, than apply into the LCM equation.

GCF(50670,50685) = 15
LCM(50670,50685) = ( 50670 × 50685) / 15
LCM(50670,50685) = 2568208950 / 15
LCM(50670,50685) = 171213930

Least Common Multiple (LCM) of 50670 and 50685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50670 and 50685. First we will calculate the prime factors of 50670 and 50685.

Prime Factorization of 50670

Prime Factorization of 50685

Now multiplying the highest exponent prime factors to calculate the LCM of 50670 and 50685.

LCM(50670,50685) = 2¹ × 3² × 5¹ × 563¹ × 31¹ × 109¹
LCM(50670,50685) = 171213930