What is the Least Common Multiple of 44344 and 44354?

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 44344 and 44354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44344 and 44354, than apply into the LCM equation.

GCF(44344,44354) = 2
LCM(44344,44354) = ( 44344 × 44354) / 2
LCM(44344,44354) = 1966833776 / 2
LCM(44344,44354) = 983416888

Least Common Multiple (LCM) of 44344 and 44354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44344 and 44354. First we will calculate the prime factors of 44344 and 44354.

Prime Factorization of 44344

Prime Factorization of 44354

Now multiplying the highest exponent prime factors to calculate the LCM of 44344 and 44354.

LCM(44344,44354) = 2³ × 23¹ × 241¹ × 67¹ × 331¹
LCM(44344,44354) = 983416888