What is the Least Common Multiple of 50596 and 50610?

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 50610 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 50610, than apply into the LCM equation.

GCF(50596,50610) = 14
LCM(50596,50610) = ( 50596 × 50610) / 14
LCM(50596,50610) = 2560663560 / 14
LCM(50596,50610) = 182904540

Least Common Multiple (LCM) of 50596 and 50610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50596 and 50610. First we will calculate the prime factors of 50596 and 50610.

Prime Factorization of 50596

Prime Factorization of 50610

Now multiplying the highest exponent prime factors to calculate the LCM of 50596 and 50610.

LCM(50596,50610) = 2² × 7¹ × 13¹ × 139¹ × 3¹ × 5¹ × 241¹
LCM(50596,50610) = 182904540