What is the Least Common Multiple of 87386 and 87399?

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 87386 and 87399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87386 and 87399, than apply into the LCM equation.

GCF(87386,87399) = 13
LCM(87386,87399) = ( 87386 × 87399) / 13
LCM(87386,87399) = 7637449014 / 13
LCM(87386,87399) = 587496078

Least Common Multiple (LCM) of 87386 and 87399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87386 and 87399. First we will calculate the prime factors of 87386 and 87399.

Prime Factorization of 87386

Prime Factorization of 87399

Now multiplying the highest exponent prime factors to calculate the LCM of 87386 and 87399.

LCM(87386,87399) = 2¹ × 13¹ × 3361¹ × 3⁴ × 83¹
LCM(87386,87399) = 587496078