What is the Least Common Multiple of 50874 and 50884?

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 50874 and 50884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50874 and 50884, than apply into the LCM equation.

GCF(50874,50884) = 2
LCM(50874,50884) = ( 50874 × 50884) / 2
LCM(50874,50884) = 2588672616 / 2
LCM(50874,50884) = 1294336308

Least Common Multiple (LCM) of 50874 and 50884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50874 and 50884. First we will calculate the prime factors of 50874 and 50884.

Prime Factorization of 50874

Prime Factorization of 50884

Now multiplying the highest exponent prime factors to calculate the LCM of 50874 and 50884.

LCM(50874,50884) = 2² × 3¹ × 61¹ × 139¹ × 12721¹
LCM(50874,50884) = 1294336308