What is the Least Common Multiple of 45399 and 45414?

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 45399 and 45414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45399 and 45414, than apply into the LCM equation.

GCF(45399,45414) = 3
LCM(45399,45414) = ( 45399 × 45414) / 3
LCM(45399,45414) = 2061750186 / 3
LCM(45399,45414) = 687250062

Least Common Multiple (LCM) of 45399 and 45414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45399 and 45414. First we will calculate the prime factors of 45399 and 45414.

Prime Factorization of 45399

Prime Factorization of 45414

Now multiplying the highest exponent prime factors to calculate the LCM of 45399 and 45414.

LCM(45399,45414) = 3³ × 37¹ × 409¹ × 2¹ × 29²
LCM(45399,45414) = 687250062