What is the Least Common Multiple of 44865 and 44880?

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 44865 and 44880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44865 and 44880, than apply into the LCM equation.

GCF(44865,44880) = 15
LCM(44865,44880) = ( 44865 × 44880) / 15
LCM(44865,44880) = 2013541200 / 15
LCM(44865,44880) = 134236080

Least Common Multiple (LCM) of 44865 and 44880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44865 and 44880. First we will calculate the prime factors of 44865 and 44880.

Prime Factorization of 44865

Prime Factorization of 44880

Now multiplying the highest exponent prime factors to calculate the LCM of 44865 and 44880.

LCM(44865,44880) = 3² × 5¹ × 997¹ × 2⁴ × 11¹ × 17¹
LCM(44865,44880) = 134236080