What is the Least Common Multiple of 50916 and 50929?

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 50916 and 50929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50916 and 50929, than apply into the LCM equation.

GCF(50916,50929) = 1
LCM(50916,50929) = ( 50916 × 50929) / 1
LCM(50916,50929) = 2593100964 / 1
LCM(50916,50929) = 2593100964

Least Common Multiple (LCM) of 50916 and 50929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50916 and 50929. First we will calculate the prime factors of 50916 and 50929.

Prime Factorization of 50916

Prime Factorization of 50929

Now multiplying the highest exponent prime factors to calculate the LCM of 50916 and 50929.

LCM(50916,50929) = 2² × 3¹ × 4243¹ × 50929¹
LCM(50916,50929) = 2593100964