What is the Least Common Multiple of 44045 and 44054?

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 44045 and 44054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44045 and 44054, than apply into the LCM equation.

GCF(44045,44054) = 1
LCM(44045,44054) = ( 44045 × 44054) / 1
LCM(44045,44054) = 1940358430 / 1
LCM(44045,44054) = 1940358430

Least Common Multiple (LCM) of 44045 and 44054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44045 and 44054. First we will calculate the prime factors of 44045 and 44054.

Prime Factorization of 44045

Prime Factorization of 44054

Now multiplying the highest exponent prime factors to calculate the LCM of 44045 and 44054.

LCM(44045,44054) = 5¹ × 23¹ × 383¹ × 2¹ × 22027¹
LCM(44045,44054) = 1940358430