What is the Least Common Multiple of 44105 and 44120?

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 44105 and 44120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44105 and 44120, than apply into the LCM equation.

GCF(44105,44120) = 5
LCM(44105,44120) = ( 44105 × 44120) / 5
LCM(44105,44120) = 1945912600 / 5
LCM(44105,44120) = 389182520

Least Common Multiple (LCM) of 44105 and 44120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44105 and 44120. First we will calculate the prime factors of 44105 and 44120.

Prime Factorization of 44105

Prime Factorization of 44120

Now multiplying the highest exponent prime factors to calculate the LCM of 44105 and 44120.

LCM(44105,44120) = 5¹ × 8821¹ × 2³ × 1103¹
LCM(44105,44120) = 389182520