What is the Least Common Multiple of 45163 and 45181?

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 45163 and 45181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45163 and 45181, than apply into the LCM equation.

GCF(45163,45181) = 1
LCM(45163,45181) = ( 45163 × 45181) / 1
LCM(45163,45181) = 2040509503 / 1
LCM(45163,45181) = 2040509503

Least Common Multiple (LCM) of 45163 and 45181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45163 and 45181. First we will calculate the prime factors of 45163 and 45181.

Prime Factorization of 45163

Prime Factorization of 45181

Now multiplying the highest exponent prime factors to calculate the LCM of 45163 and 45181.

LCM(45163,45181) = 19¹ × 2377¹ × 45181¹
LCM(45163,45181) = 2040509503