What is the Least Common Multiple of 38575 and 38590?

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 38575 and 38590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38575 and 38590, than apply into the LCM equation.

GCF(38575,38590) = 5
LCM(38575,38590) = ( 38575 × 38590) / 5
LCM(38575,38590) = 1488609250 / 5
LCM(38575,38590) = 297721850

Least Common Multiple (LCM) of 38575 and 38590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38575 and 38590. First we will calculate the prime factors of 38575 and 38590.

Prime Factorization of 38575

Prime Factorization of 38590

Now multiplying the highest exponent prime factors to calculate the LCM of 38575 and 38590.

LCM(38575,38590) = 5² × 1543¹ × 2¹ × 17¹ × 227¹
LCM(38575,38590) = 297721850