What is the Least Common Multiple of 50676 and 50689?

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 50676 and 50689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50676 and 50689, than apply into the LCM equation.

GCF(50676,50689) = 1
LCM(50676,50689) = ( 50676 × 50689) / 1
LCM(50676,50689) = 2568715764 / 1
LCM(50676,50689) = 2568715764

Least Common Multiple (LCM) of 50676 and 50689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50676 and 50689. First we will calculate the prime factors of 50676 and 50689.

Prime Factorization of 50676

Prime Factorization of 50689

Now multiplying the highest exponent prime factors to calculate the LCM of 50676 and 50689.

LCM(50676,50689) = 2² × 3¹ × 41¹ × 103¹ × 173¹ × 293¹
LCM(50676,50689) = 2568715764