What is the Least Common Multiple of 82284 and 82288?

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 82284 and 82288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82284 and 82288, than apply into the LCM equation.

GCF(82284,82288) = 4
LCM(82284,82288) = ( 82284 × 82288) / 4
LCM(82284,82288) = 6770985792 / 4
LCM(82284,82288) = 1692746448

Least Common Multiple (LCM) of 82284 and 82288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82284 and 82288. First we will calculate the prime factors of 82284 and 82288.

Prime Factorization of 82284

Prime Factorization of 82288

Now multiplying the highest exponent prime factors to calculate the LCM of 82284 and 82288.

LCM(82284,82288) = 2⁴ × 3¹ × 6857¹ × 37¹ × 139¹
LCM(82284,82288) = 1692746448