What is the Least Common Multiple of 50757 and 50777?

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 50757 and 50777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50757 and 50777, than apply into the LCM equation.

GCF(50757,50777) = 1
LCM(50757,50777) = ( 50757 × 50777) / 1
LCM(50757,50777) = 2577288189 / 1
LCM(50757,50777) = 2577288189

Least Common Multiple (LCM) of 50757 and 50777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50757 and 50777. First we will calculate the prime factors of 50757 and 50777.

Prime Factorization of 50757

Prime Factorization of 50777

Now multiplying the highest exponent prime factors to calculate the LCM of 50757 and 50777.

LCM(50757,50777) = 3¹ × 7¹ × 2417¹ × 50777¹
LCM(50757,50777) = 2577288189