What is the Least Common Multiple of 50548 and 50562?

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 50548 and 50562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50548 and 50562, than apply into the LCM equation.

GCF(50548,50562) = 2
LCM(50548,50562) = ( 50548 × 50562) / 2
LCM(50548,50562) = 2555807976 / 2
LCM(50548,50562) = 1277903988

Least Common Multiple (LCM) of 50548 and 50562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50548 and 50562. First we will calculate the prime factors of 50548 and 50562.

Prime Factorization of 50548

Prime Factorization of 50562

Now multiplying the highest exponent prime factors to calculate the LCM of 50548 and 50562.

LCM(50548,50562) = 2² × 12637¹ × 3² × 53²
LCM(50548,50562) = 1277903988