What is the Least Common Multiple of 50356 and 50374?

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 50356 and 50374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50356 and 50374, than apply into the LCM equation.

GCF(50356,50374) = 2
LCM(50356,50374) = ( 50356 × 50374) / 2
LCM(50356,50374) = 2536633144 / 2
LCM(50356,50374) = 1268316572

Least Common Multiple (LCM) of 50356 and 50374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50356 and 50374. First we will calculate the prime factors of 50356 and 50374.

Prime Factorization of 50356

Prime Factorization of 50374

Now multiplying the highest exponent prime factors to calculate the LCM of 50356 and 50374.

LCM(50356,50374) = 2² × 12589¹ × 89¹ × 283¹
LCM(50356,50374) = 1268316572