What is the Least Common Multiple of 50668 and 50678?

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 50668 and 50678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50668 and 50678, than apply into the LCM equation.

GCF(50668,50678) = 2
LCM(50668,50678) = ( 50668 × 50678) / 2
LCM(50668,50678) = 2567752904 / 2
LCM(50668,50678) = 1283876452

Least Common Multiple (LCM) of 50668 and 50678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50668 and 50678. First we will calculate the prime factors of 50668 and 50678.

Prime Factorization of 50668

Prime Factorization of 50678

Now multiplying the highest exponent prime factors to calculate the LCM of 50668 and 50678.

LCM(50668,50678) = 2² × 53¹ × 239¹ × 25339¹
LCM(50668,50678) = 1283876452