What is the Least Common Multiple of 82188 and 82192?

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 82188 and 82192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82188 and 82192, than apply into the LCM equation.

GCF(82188,82192) = 4
LCM(82188,82192) = ( 82188 × 82192) / 4
LCM(82188,82192) = 6755196096 / 4
LCM(82188,82192) = 1688799024

Least Common Multiple (LCM) of 82188 and 82192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82188 and 82192. First we will calculate the prime factors of 82188 and 82192.

Prime Factorization of 82188

Prime Factorization of 82192

Now multiplying the highest exponent prime factors to calculate the LCM of 82188 and 82192.

LCM(82188,82192) = 2⁴ × 3³ × 761¹ × 11¹ × 467¹
LCM(82188,82192) = 1688799024