What is the Least Common Multiple of 38971 and 38986?

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 38971 and 38986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38971 and 38986, than apply into the LCM equation.

GCF(38971,38986) = 1
LCM(38971,38986) = ( 38971 × 38986) / 1
LCM(38971,38986) = 1519323406 / 1
LCM(38971,38986) = 1519323406

Least Common Multiple (LCM) of 38971 and 38986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38971 and 38986. First we will calculate the prime factors of 38971 and 38986.

Prime Factorization of 38971

Prime Factorization of 38986

Now multiplying the highest exponent prime factors to calculate the LCM of 38971 and 38986.

LCM(38971,38986) = 38971¹ × 2¹ × 101¹ × 193¹
LCM(38971,38986) = 1519323406