What is the Least Common Multiple of 45390 and 45400?

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 45390 and 45400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45390 and 45400, than apply into the LCM equation.

GCF(45390,45400) = 10
LCM(45390,45400) = ( 45390 × 45400) / 10
LCM(45390,45400) = 2060706000 / 10
LCM(45390,45400) = 206070600

Least Common Multiple (LCM) of 45390 and 45400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45390 and 45400. First we will calculate the prime factors of 45390 and 45400.

Prime Factorization of 45390

Prime Factorization of 45400

Now multiplying the highest exponent prime factors to calculate the LCM of 45390 and 45400.

LCM(45390,45400) = 2³ × 3¹ × 5² × 17¹ × 89¹ × 227¹
LCM(45390,45400) = 206070600