What is the Least Common Multiple of 38571 and 38575?

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 38571 and 38575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38571 and 38575, than apply into the LCM equation.

GCF(38571,38575) = 1
LCM(38571,38575) = ( 38571 × 38575) / 1
LCM(38571,38575) = 1487876325 / 1
LCM(38571,38575) = 1487876325

Least Common Multiple (LCM) of 38571 and 38575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38571 and 38575. First we will calculate the prime factors of 38571 and 38575.

Prime Factorization of 38571

Prime Factorization of 38575

Now multiplying the highest exponent prime factors to calculate the LCM of 38571 and 38575.

LCM(38571,38575) = 3¹ × 13¹ × 23¹ × 43¹ × 5² × 1543¹
LCM(38571,38575) = 1487876325