What is the Least Common Multiple of 45567 and 45578?

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 45578 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 45578, than apply into the LCM equation.

GCF(45567,45578) = 1
LCM(45567,45578) = ( 45567 × 45578) / 1
LCM(45567,45578) = 2076852726 / 1
LCM(45567,45578) = 2076852726

Least Common Multiple (LCM) of 45567 and 45578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45567 and 45578. First we will calculate the prime factors of 45567 and 45578.

Prime Factorization of 45567

Prime Factorization of 45578

Now multiplying the highest exponent prime factors to calculate the LCM of 45567 and 45578.

LCM(45567,45578) = 3² × 61¹ × 83¹ × 2¹ × 13¹ × 1753¹
LCM(45567,45578) = 2076852726