What is the Least Common Multiple of 44550 and 44560?

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 44550 and 44560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44550 and 44560, than apply into the LCM equation.

GCF(44550,44560) = 10
LCM(44550,44560) = ( 44550 × 44560) / 10
LCM(44550,44560) = 1985148000 / 10
LCM(44550,44560) = 198514800

Least Common Multiple (LCM) of 44550 and 44560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44550 and 44560. First we will calculate the prime factors of 44550 and 44560.

Prime Factorization of 44550

Prime Factorization of 44560

Now multiplying the highest exponent prime factors to calculate the LCM of 44550 and 44560.

LCM(44550,44560) = 2⁴ × 3⁴ × 5² × 11¹ × 557¹
LCM(44550,44560) = 198514800