What is the Least Common Multiple of 45789 and 45800?

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 45789 and 45800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45789 and 45800, than apply into the LCM equation.

GCF(45789,45800) = 1
LCM(45789,45800) = ( 45789 × 45800) / 1
LCM(45789,45800) = 2097136200 / 1
LCM(45789,45800) = 2097136200

Least Common Multiple (LCM) of 45789 and 45800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45789 and 45800. First we will calculate the prime factors of 45789 and 45800.

Prime Factorization of 45789

Prime Factorization of 45800

Now multiplying the highest exponent prime factors to calculate the LCM of 45789 and 45800.

LCM(45789,45800) = 3¹ × 15263¹ × 2³ × 5² × 229¹
LCM(45789,45800) = 2097136200