What is the Least Common Multiple of 38864 and 38871?

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 38864 and 38871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38864 and 38871, than apply into the LCM equation.

GCF(38864,38871) = 7
LCM(38864,38871) = ( 38864 × 38871) / 7
LCM(38864,38871) = 1510682544 / 7
LCM(38864,38871) = 215811792

Least Common Multiple (LCM) of 38864 and 38871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38864 and 38871. First we will calculate the prime factors of 38864 and 38871.

Prime Factorization of 38864

Prime Factorization of 38871

Now multiplying the highest exponent prime factors to calculate the LCM of 38864 and 38871.

LCM(38864,38871) = 2⁴ × 7¹ × 347¹ × 3² × 617¹
LCM(38864,38871) = 215811792