What is the Least Common Multiple of 50744 and 50754?

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 50744 and 50754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50744 and 50754, than apply into the LCM equation.

GCF(50744,50754) = 2
LCM(50744,50754) = ( 50744 × 50754) / 2
LCM(50744,50754) = 2575460976 / 2
LCM(50744,50754) = 1287730488

Least Common Multiple (LCM) of 50744 and 50754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50744 and 50754. First we will calculate the prime factors of 50744 and 50754.

Prime Factorization of 50744

Prime Factorization of 50754

Now multiplying the highest exponent prime factors to calculate the LCM of 50744 and 50754.

LCM(50744,50754) = 2³ × 6343¹ × 3¹ × 11¹ × 769¹
LCM(50744,50754) = 1287730488