What is the Least Common Multiple of 38025 and 38040?

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 38025 and 38040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38025 and 38040, than apply into the LCM equation.

GCF(38025,38040) = 15
LCM(38025,38040) = ( 38025 × 38040) / 15
LCM(38025,38040) = 1446471000 / 15
LCM(38025,38040) = 96431400

Least Common Multiple (LCM) of 38025 and 38040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38025 and 38040. First we will calculate the prime factors of 38025 and 38040.

Prime Factorization of 38025

Prime Factorization of 38040

Now multiplying the highest exponent prime factors to calculate the LCM of 38025 and 38040.

LCM(38025,38040) = 3² × 5² × 13² × 2³ × 317¹
LCM(38025,38040) = 96431400