What is the Least Common Multiple of 38865 and 38870?

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 38865 and 38870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38865 and 38870, than apply into the LCM equation.

GCF(38865,38870) = 5
LCM(38865,38870) = ( 38865 × 38870) / 5
LCM(38865,38870) = 1510682550 / 5
LCM(38865,38870) = 302136510

Least Common Multiple (LCM) of 38865 and 38870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38865 and 38870. First we will calculate the prime factors of 38865 and 38870.

Prime Factorization of 38865

Prime Factorization of 38870

Now multiplying the highest exponent prime factors to calculate the LCM of 38865 and 38870.

LCM(38865,38870) = 3¹ × 5¹ × 2591¹ × 2¹ × 13² × 23¹
LCM(38865,38870) = 302136510