What is the Least Common Multiple of 45519 and 45529?

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 45519 and 45529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45519 and 45529, than apply into the LCM equation.

GCF(45519,45529) = 1
LCM(45519,45529) = ( 45519 × 45529) / 1
LCM(45519,45529) = 2072434551 / 1
LCM(45519,45529) = 2072434551

Least Common Multiple (LCM) of 45519 and 45529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45519 and 45529. First we will calculate the prime factors of 45519 and 45529.

Prime Factorization of 45519

Prime Factorization of 45529

Now multiplying the highest exponent prime factors to calculate the LCM of 45519 and 45529.

LCM(45519,45529) = 3¹ × 15173¹ × 11¹ × 4139¹
LCM(45519,45529) = 2072434551