What is the Least Common Multiple of 50516 and 50536?

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 50516 and 50536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50516 and 50536, than apply into the LCM equation.

GCF(50516,50536) = 4
LCM(50516,50536) = ( 50516 × 50536) / 4
LCM(50516,50536) = 2552876576 / 4
LCM(50516,50536) = 638219144

Least Common Multiple (LCM) of 50516 and 50536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50516 and 50536. First we will calculate the prime factors of 50516 and 50536.

Prime Factorization of 50516

Prime Factorization of 50536

Now multiplying the highest exponent prime factors to calculate the LCM of 50516 and 50536.

LCM(50516,50536) = 2³ × 73¹ × 173¹ × 6317¹
LCM(50516,50536) = 638219144