What is the Least Common Multiple of 44574 and 44587?

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 44574 and 44587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44574 and 44587, than apply into the LCM equation.

GCF(44574,44587) = 1
LCM(44574,44587) = ( 44574 × 44587) / 1
LCM(44574,44587) = 1987420938 / 1
LCM(44574,44587) = 1987420938

Least Common Multiple (LCM) of 44574 and 44587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44574 and 44587. First we will calculate the prime factors of 44574 and 44587.

Prime Factorization of 44574

Prime Factorization of 44587

Now multiplying the highest exponent prime factors to calculate the LCM of 44574 and 44587.

LCM(44574,44587) = 2¹ × 3¹ × 17¹ × 19¹ × 23¹ × 44587¹
LCM(44574,44587) = 1987420938