What is the Least Common Multiple of 38082 and 38087?

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 38082 and 38087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38082 and 38087, than apply into the LCM equation.

GCF(38082,38087) = 1
LCM(38082,38087) = ( 38082 × 38087) / 1
LCM(38082,38087) = 1450429134 / 1
LCM(38082,38087) = 1450429134

Least Common Multiple (LCM) of 38082 and 38087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38082 and 38087. First we will calculate the prime factors of 38082 and 38087.

Prime Factorization of 38082

Prime Factorization of 38087

Now multiplying the highest exponent prime factors to calculate the LCM of 38082 and 38087.

LCM(38082,38087) = 2¹ × 3¹ × 11¹ × 577¹ × 7¹ × 5441¹
LCM(38082,38087) = 1450429134