What is the Least Common Multiple of 44880 and 44900?

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 44900 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 44900, than apply into the LCM equation.

GCF(44880,44900) = 20
LCM(44880,44900) = ( 44880 × 44900) / 20
LCM(44880,44900) = 2015112000 / 20
LCM(44880,44900) = 100755600

Least Common Multiple (LCM) of 44880 and 44900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44880 and 44900. First we will calculate the prime factors of 44880 and 44900.

Prime Factorization of 44880

Prime Factorization of 44900

Now multiplying the highest exponent prime factors to calculate the LCM of 44880 and 44900.

LCM(44880,44900) = 2⁴ × 3¹ × 5² × 11¹ × 17¹ × 449¹
LCM(44880,44900) = 100755600