What is the Least Common Multiple of 50758 and 50771?

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 50771 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 50771, than apply into the LCM equation.

GCF(50758,50771) = 1
LCM(50758,50771) = ( 50758 × 50771) / 1
LCM(50758,50771) = 2577034418 / 1
LCM(50758,50771) = 2577034418

Least Common Multiple (LCM) of 50758 and 50771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50758 and 50771. First we will calculate the prime factors of 50758 and 50771.

Prime Factorization of 50758

Prime Factorization of 50771

Now multiplying the highest exponent prime factors to calculate the LCM of 50758 and 50771.

LCM(50758,50771) = 2¹ × 41¹ × 619¹ × 7¹ × 7253¹
LCM(50758,50771) = 2577034418