What is the Least Common Multiple of 50312 and 50318?

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 50312 and 50318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50312 and 50318, than apply into the LCM equation.

GCF(50312,50318) = 2
LCM(50312,50318) = ( 50312 × 50318) / 2
LCM(50312,50318) = 2531599216 / 2
LCM(50312,50318) = 1265799608

Least Common Multiple (LCM) of 50312 and 50318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50312 and 50318. First we will calculate the prime factors of 50312 and 50318.

Prime Factorization of 50312

Prime Factorization of 50318

Now multiplying the highest exponent prime factors to calculate the LCM of 50312 and 50318.

LCM(50312,50318) = 2³ × 19¹ × 331¹ × 139¹ × 181¹
LCM(50312,50318) = 1265799608