What is the Least Common Multiple of 50796 and 50816?

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 50796 and 50816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50796 and 50816, than apply into the LCM equation.

GCF(50796,50816) = 4
LCM(50796,50816) = ( 50796 × 50816) / 4
LCM(50796,50816) = 2581249536 / 4
LCM(50796,50816) = 645312384

Least Common Multiple (LCM) of 50796 and 50816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50796 and 50816. First we will calculate the prime factors of 50796 and 50816.

Prime Factorization of 50796

Prime Factorization of 50816

Now multiplying the highest exponent prime factors to calculate the LCM of 50796 and 50816.

LCM(50796,50816) = 2⁷ × 3² × 17¹ × 83¹ × 397¹
LCM(50796,50816) = 645312384