What is the Least Common Multiple of 38595 and 38600?

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 38595 and 38600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38595 and 38600, than apply into the LCM equation.

GCF(38595,38600) = 5
LCM(38595,38600) = ( 38595 × 38600) / 5
LCM(38595,38600) = 1489767000 / 5
LCM(38595,38600) = 297953400

Least Common Multiple (LCM) of 38595 and 38600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38595 and 38600. First we will calculate the prime factors of 38595 and 38600.

Prime Factorization of 38595

Prime Factorization of 38600

Now multiplying the highest exponent prime factors to calculate the LCM of 38595 and 38600.

LCM(38595,38600) = 3¹ × 5² × 31¹ × 83¹ × 2³ × 193¹
LCM(38595,38600) = 297953400