What is the Least Common Multiple of 44744 and 44758?

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 44744 and 44758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44744 and 44758, than apply into the LCM equation.

GCF(44744,44758) = 14
LCM(44744,44758) = ( 44744 × 44758) / 14
LCM(44744,44758) = 2002651952 / 14
LCM(44744,44758) = 143046568

Least Common Multiple (LCM) of 44744 and 44758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44744 and 44758. First we will calculate the prime factors of 44744 and 44758.

Prime Factorization of 44744

Prime Factorization of 44758

Now multiplying the highest exponent prime factors to calculate the LCM of 44744 and 44758.

LCM(44744,44758) = 2³ × 7¹ × 17¹ × 47¹ × 23¹ × 139¹
LCM(44744,44758) = 143046568