What is the Least Common Multiple of 44341 and 44352?

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 44341 and 44352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44341 and 44352, than apply into the LCM equation.

GCF(44341,44352) = 11
LCM(44341,44352) = ( 44341 × 44352) / 11
LCM(44341,44352) = 1966612032 / 11
LCM(44341,44352) = 178782912

Least Common Multiple (LCM) of 44341 and 44352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44341 and 44352. First we will calculate the prime factors of 44341 and 44352.

Prime Factorization of 44341

Prime Factorization of 44352

Now multiplying the highest exponent prime factors to calculate the LCM of 44341 and 44352.

LCM(44341,44352) = 11¹ × 29¹ × 139¹ × 2⁶ × 3² × 7¹
LCM(44341,44352) = 178782912