What is the Least Common Multiple of 44880 and 44891?

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 44880 and 44891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44880 and 44891, than apply into the LCM equation.

GCF(44880,44891) = 11
LCM(44880,44891) = ( 44880 × 44891) / 11
LCM(44880,44891) = 2014708080 / 11
LCM(44880,44891) = 183155280

Least Common Multiple (LCM) of 44880 and 44891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44880 and 44891. First we will calculate the prime factors of 44880 and 44891.

Prime Factorization of 44880

Prime Factorization of 44891

Now multiplying the highest exponent prime factors to calculate the LCM of 44880 and 44891.

LCM(44880,44891) = 2⁴ × 3¹ × 5¹ × 11² × 17¹ × 7¹ × 53¹
LCM(44880,44891) = 183155280