What is the Least Common Multiple of 44744 and 44760?

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 44760 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 44760, than apply into the LCM equation.

GCF(44744,44760) = 8
LCM(44744,44760) = ( 44744 × 44760) / 8
LCM(44744,44760) = 2002741440 / 8
LCM(44744,44760) = 250342680

Least Common Multiple (LCM) of 44744 and 44760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44744 and 44760. First we will calculate the prime factors of 44744 and 44760.

Prime Factorization of 44744

Prime Factorization of 44760

Now multiplying the highest exponent prime factors to calculate the LCM of 44744 and 44760.

LCM(44744,44760) = 2³ × 7¹ × 17¹ × 47¹ × 3¹ × 5¹ × 373¹
LCM(44744,44760) = 250342680