What is the Least Common Multiple of 44274 and 44283?

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 44274 and 44283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44274 and 44283, than apply into the LCM equation.

GCF(44274,44283) = 3
LCM(44274,44283) = ( 44274 × 44283) / 3
LCM(44274,44283) = 1960585542 / 3
LCM(44274,44283) = 653528514

Least Common Multiple (LCM) of 44274 and 44283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44274 and 44283. First we will calculate the prime factors of 44274 and 44283.

Prime Factorization of 44274

Prime Factorization of 44283

Now multiplying the highest exponent prime factors to calculate the LCM of 44274 and 44283.

LCM(44274,44283) = 2¹ × 3¹ × 47¹ × 157¹ × 29¹ × 509¹
LCM(44274,44283) = 653528514