What is the Least Common Multiple of 50758 and 50776?

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 50776 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 50776, than apply into the LCM equation.

GCF(50758,50776) = 2
LCM(50758,50776) = ( 50758 × 50776) / 2
LCM(50758,50776) = 2577288208 / 2
LCM(50758,50776) = 1288644104

Least Common Multiple (LCM) of 50758 and 50776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50758 and 50776. First we will calculate the prime factors of 50758 and 50776.

Prime Factorization of 50758

Prime Factorization of 50776

Now multiplying the highest exponent prime factors to calculate the LCM of 50758 and 50776.

LCM(50758,50776) = 2³ × 41¹ × 619¹ × 11¹ × 577¹
LCM(50758,50776) = 1288644104