What is the Least Common Multiple of 50298 and 50312?

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 50298 and 50312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50298 and 50312, than apply into the LCM equation.

GCF(50298,50312) = 2
LCM(50298,50312) = ( 50298 × 50312) / 2
LCM(50298,50312) = 2530592976 / 2
LCM(50298,50312) = 1265296488

Least Common Multiple (LCM) of 50298 and 50312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50298 and 50312. First we will calculate the prime factors of 50298 and 50312.

Prime Factorization of 50298

Prime Factorization of 50312

Now multiplying the highest exponent prime factors to calculate the LCM of 50298 and 50312.

LCM(50298,50312) = 2³ × 3¹ × 83¹ × 101¹ × 19¹ × 331¹
LCM(50298,50312) = 1265296488