What is the Least Common Multiple of 50739 and 50744?

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 50739 and 50744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50739 and 50744, than apply into the LCM equation.

GCF(50739,50744) = 1
LCM(50739,50744) = ( 50739 × 50744) / 1
LCM(50739,50744) = 2574699816 / 1
LCM(50739,50744) = 2574699816

Least Common Multiple (LCM) of 50739 and 50744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50739 and 50744. First we will calculate the prime factors of 50739 and 50744.

Prime Factorization of 50739

Prime Factorization of 50744

Now multiplying the highest exponent prime factors to calculate the LCM of 50739 and 50744.

LCM(50739,50744) = 3¹ × 13¹ × 1301¹ × 2³ × 6343¹
LCM(50739,50744) = 2574699816