What is the Least Common Multiple of 44905 and 44920?

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 44905 and 44920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44905 and 44920, than apply into the LCM equation.

GCF(44905,44920) = 5
LCM(44905,44920) = ( 44905 × 44920) / 5
LCM(44905,44920) = 2017132600 / 5
LCM(44905,44920) = 403426520

Least Common Multiple (LCM) of 44905 and 44920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44905 and 44920. First we will calculate the prime factors of 44905 and 44920.

Prime Factorization of 44905

Prime Factorization of 44920

Now multiplying the highest exponent prime factors to calculate the LCM of 44905 and 44920.

LCM(44905,44920) = 5¹ × 7¹ × 1283¹ × 2³ × 1123¹
LCM(44905,44920) = 403426520