What is the Least Common Multiple of 45573 and 45587?

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 45573 and 45587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45573 and 45587, than apply into the LCM equation.

GCF(45573,45587) = 1
LCM(45573,45587) = ( 45573 × 45587) / 1
LCM(45573,45587) = 2077536351 / 1
LCM(45573,45587) = 2077536351

Least Common Multiple (LCM) of 45573 and 45587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45573 and 45587. First we will calculate the prime factors of 45573 and 45587.

Prime Factorization of 45573

Prime Factorization of 45587

Now multiplying the highest exponent prime factors to calculate the LCM of 45573 and 45587.

LCM(45573,45587) = 3¹ × 11¹ × 1381¹ × 45587¹
LCM(45573,45587) = 2077536351