What is the Least Common Multiple of 50294 and 50299?

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 50294 and 50299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50294 and 50299, than apply into the LCM equation.

GCF(50294,50299) = 1
LCM(50294,50299) = ( 50294 × 50299) / 1
LCM(50294,50299) = 2529737906 / 1
LCM(50294,50299) = 2529737906

Least Common Multiple (LCM) of 50294 and 50299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50294 and 50299. First we will calculate the prime factors of 50294 and 50299.

Prime Factorization of 50294

Prime Factorization of 50299

Now multiplying the highest exponent prime factors to calculate the LCM of 50294 and 50299.

LCM(50294,50299) = 2¹ × 25147¹ × 179¹ × 281¹
LCM(50294,50299) = 2529737906