What is the Least Common Multiple of 50816 and 50836?

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 50816 and 50836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50816 and 50836, than apply into the LCM equation.

GCF(50816,50836) = 4
LCM(50816,50836) = ( 50816 × 50836) / 4
LCM(50816,50836) = 2583282176 / 4
LCM(50816,50836) = 645820544

Least Common Multiple (LCM) of 50816 and 50836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50816 and 50836. First we will calculate the prime factors of 50816 and 50836.

Prime Factorization of 50816

Prime Factorization of 50836

Now multiplying the highest exponent prime factors to calculate the LCM of 50816 and 50836.

LCM(50816,50836) = 2⁷ × 397¹ × 71¹ × 179¹
LCM(50816,50836) = 645820544