What is the Least Common Multiple of 45393 and 45399?

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 45393 and 45399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45393 and 45399, than apply into the LCM equation.

GCF(45393,45399) = 3
LCM(45393,45399) = ( 45393 × 45399) / 3
LCM(45393,45399) = 2060796807 / 3
LCM(45393,45399) = 686932269

Least Common Multiple (LCM) of 45393 and 45399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45393 and 45399. First we will calculate the prime factors of 45393 and 45399.

Prime Factorization of 45393

Prime Factorization of 45399

Now multiplying the highest exponent prime factors to calculate the LCM of 45393 and 45399.

LCM(45393,45399) = 3¹ × 15131¹ × 37¹ × 409¹
LCM(45393,45399) = 686932269