What is the Least Common Multiple of 38889 and 38894?

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 38889 and 38894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38889 and 38894, than apply into the LCM equation.

GCF(38889,38894) = 1
LCM(38889,38894) = ( 38889 × 38894) / 1
LCM(38889,38894) = 1512548766 / 1
LCM(38889,38894) = 1512548766

Least Common Multiple (LCM) of 38889 and 38894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38889 and 38894. First we will calculate the prime factors of 38889 and 38894.

Prime Factorization of 38889

Prime Factorization of 38894

Now multiplying the highest exponent prime factors to calculate the LCM of 38889 and 38894.

LCM(38889,38894) = 3² × 29¹ × 149¹ × 2¹ × 19447¹
LCM(38889,38894) = 1512548766