What is the Least Common Multiple of 44565 and 44574?

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 44565 and 44574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44565 and 44574, than apply into the LCM equation.

GCF(44565,44574) = 3
LCM(44565,44574) = ( 44565 × 44574) / 3
LCM(44565,44574) = 1986440310 / 3
LCM(44565,44574) = 662146770

Least Common Multiple (LCM) of 44565 and 44574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44565 and 44574. First we will calculate the prime factors of 44565 and 44574.

Prime Factorization of 44565

Prime Factorization of 44574

Now multiplying the highest exponent prime factors to calculate the LCM of 44565 and 44574.

LCM(44565,44574) = 3¹ × 5¹ × 2971¹ × 2¹ × 17¹ × 19¹ × 23¹
LCM(44565,44574) = 662146770