What is the Least Common Multiple of 44745 and 44754?

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 44745 and 44754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44745 and 44754, than apply into the LCM equation.

GCF(44745,44754) = 3
LCM(44745,44754) = ( 44745 × 44754) / 3
LCM(44745,44754) = 2002517730 / 3
LCM(44745,44754) = 667505910

Least Common Multiple (LCM) of 44745 and 44754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44745 and 44754. First we will calculate the prime factors of 44745 and 44754.

Prime Factorization of 44745

Prime Factorization of 44754

Now multiplying the highest exponent prime factors to calculate the LCM of 44745 and 44754.

LCM(44745,44754) = 3¹ × 5¹ × 19¹ × 157¹ × 2¹ × 7459¹
LCM(44745,44754) = 667505910