What is the Least Common Multiple of 45567 and 45586?

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 45567 and 45586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45567 and 45586, than apply into the LCM equation.

GCF(45567,45586) = 1
LCM(45567,45586) = ( 45567 × 45586) / 1
LCM(45567,45586) = 2077217262 / 1
LCM(45567,45586) = 2077217262

Least Common Multiple (LCM) of 45567 and 45586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45567 and 45586. First we will calculate the prime factors of 45567 and 45586.

Prime Factorization of 45567

Prime Factorization of 45586

Now multiplying the highest exponent prime factors to calculate the LCM of 45567 and 45586.

LCM(45567,45586) = 3² × 61¹ × 83¹ × 2¹ × 23¹ × 991¹
LCM(45567,45586) = 2077217262