What is the Least Common Multiple of 50758 and 50772?

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 50758 and 50772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50758 and 50772, than apply into the LCM equation.

GCF(50758,50772) = 2
LCM(50758,50772) = ( 50758 × 50772) / 2
LCM(50758,50772) = 2577085176 / 2
LCM(50758,50772) = 1288542588

Least Common Multiple (LCM) of 50758 and 50772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50758 and 50772. First we will calculate the prime factors of 50758 and 50772.

Prime Factorization of 50758

Prime Factorization of 50772

Now multiplying the highest exponent prime factors to calculate the LCM of 50758 and 50772.

LCM(50758,50772) = 2² × 41¹ × 619¹ × 3¹ × 4231¹
LCM(50758,50772) = 1288542588