What is the Least Common Multiple of 50450 and 50456?

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 50450 and 50456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50450 and 50456, than apply into the LCM equation.

GCF(50450,50456) = 2
LCM(50450,50456) = ( 50450 × 50456) / 2
LCM(50450,50456) = 2545505200 / 2
LCM(50450,50456) = 1272752600

Least Common Multiple (LCM) of 50450 and 50456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50450 and 50456. First we will calculate the prime factors of 50450 and 50456.

Prime Factorization of 50450

Prime Factorization of 50456

Now multiplying the highest exponent prime factors to calculate the LCM of 50450 and 50456.

LCM(50450,50456) = 2³ × 5² × 1009¹ × 7¹ × 17¹ × 53¹
LCM(50450,50456) = 1272752600