What is the Least Common Multiple of 50596 and 50613?

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 50596 and 50613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50596 and 50613, than apply into the LCM equation.

GCF(50596,50613) = 1
LCM(50596,50613) = ( 50596 × 50613) / 1
LCM(50596,50613) = 2560815348 / 1
LCM(50596,50613) = 2560815348

Least Common Multiple (LCM) of 50596 and 50613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50596 and 50613. First we will calculate the prime factors of 50596 and 50613.

Prime Factorization of 50596

Prime Factorization of 50613

Now multiplying the highest exponent prime factors to calculate the LCM of 50596 and 50613.

LCM(50596,50613) = 2² × 7¹ × 13¹ × 139¹ × 3¹ × 16871¹
LCM(50596,50613) = 2560815348