What is the Least Common Multiple of 50456 and 50472?

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 50456 and 50472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50456 and 50472, than apply into the LCM equation.

GCF(50456,50472) = 8
LCM(50456,50472) = ( 50456 × 50472) / 8
LCM(50456,50472) = 2546615232 / 8
LCM(50456,50472) = 318326904

Least Common Multiple (LCM) of 50456 and 50472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50456 and 50472. First we will calculate the prime factors of 50456 and 50472.

Prime Factorization of 50456

Prime Factorization of 50472

Now multiplying the highest exponent prime factors to calculate the LCM of 50456 and 50472.

LCM(50456,50472) = 2³ × 7¹ × 17¹ × 53¹ × 3² × 701¹
LCM(50456,50472) = 318326904