What is the Least Common Multiple of 38971 and 38989?

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 38989 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 38989, than apply into the LCM equation.

GCF(38971,38989) = 1
LCM(38971,38989) = ( 38971 × 38989) / 1
LCM(38971,38989) = 1519440319 / 1
LCM(38971,38989) = 1519440319

Least Common Multiple (LCM) of 38971 and 38989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38971 and 38989. First we will calculate the prime factors of 38971 and 38989.

Prime Factorization of 38971

Prime Factorization of 38989

Now multiplying the highest exponent prime factors to calculate the LCM of 38971 and 38989.

LCM(38971,38989) = 38971¹ × 127¹ × 307¹
LCM(38971,38989) = 1519440319