What is the Least Common Multiple of 44259 and 44274?

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 44259 and 44274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44259 and 44274, than apply into the LCM equation.

GCF(44259,44274) = 3
LCM(44259,44274) = ( 44259 × 44274) / 3
LCM(44259,44274) = 1959522966 / 3
LCM(44259,44274) = 653174322

Least Common Multiple (LCM) of 44259 and 44274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44259 and 44274. First we will calculate the prime factors of 44259 and 44274.

Prime Factorization of 44259

Prime Factorization of 44274

Now multiplying the highest exponent prime factors to calculate the LCM of 44259 and 44274.

LCM(44259,44274) = 3¹ × 14753¹ × 2¹ × 47¹ × 157¹
LCM(44259,44274) = 653174322