What is the Least Common Multiple of 50709 and 50718?

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 50709 and 50718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50709 and 50718, than apply into the LCM equation.

GCF(50709,50718) = 3
LCM(50709,50718) = ( 50709 × 50718) / 3
LCM(50709,50718) = 2571859062 / 3
LCM(50709,50718) = 857286354

Least Common Multiple (LCM) of 50709 and 50718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50709 and 50718. First we will calculate the prime factors of 50709 and 50718.

Prime Factorization of 50709

Prime Factorization of 50718

Now multiplying the highest exponent prime factors to calculate the LCM of 50709 and 50718.

LCM(50709,50718) = 3¹ × 16903¹ × 2¹ × 79¹ × 107¹
LCM(50709,50718) = 857286354