What is the Least Common Multiple of 45083 and 45095?

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 45083 and 45095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45083 and 45095, than apply into the LCM equation.

GCF(45083,45095) = 1
LCM(45083,45095) = ( 45083 × 45095) / 1
LCM(45083,45095) = 2033017885 / 1
LCM(45083,45095) = 2033017885

Least Common Multiple (LCM) of 45083 and 45095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45083 and 45095. First we will calculate the prime factors of 45083 and 45095.

Prime Factorization of 45083

Prime Factorization of 45095

Now multiplying the highest exponent prime factors to calculate the LCM of 45083 and 45095.

LCM(45083,45095) = 45083¹ × 5¹ × 29¹ × 311¹
LCM(45083,45095) = 2033017885