What is the Least Common Multiple of 44563 and 44575?

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 44563 and 44575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44563 and 44575, than apply into the LCM equation.

GCF(44563,44575) = 1
LCM(44563,44575) = ( 44563 × 44575) / 1
LCM(44563,44575) = 1986395725 / 1
LCM(44563,44575) = 1986395725

Least Common Multiple (LCM) of 44563 and 44575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44563 and 44575. First we will calculate the prime factors of 44563 and 44575.

Prime Factorization of 44563

Prime Factorization of 44575

Now multiplying the highest exponent prime factors to calculate the LCM of 44563 and 44575.

LCM(44563,44575) = 44563¹ × 5² × 1783¹
LCM(44563,44575) = 1986395725