What is the Least Common Multiple of 83268 and 83282?

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 83268 and 83282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83268 and 83282, than apply into the LCM equation.

GCF(83268,83282) = 2
LCM(83268,83282) = ( 83268 × 83282) / 2
LCM(83268,83282) = 6934725576 / 2
LCM(83268,83282) = 3467362788

Least Common Multiple (LCM) of 83268 and 83282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83268 and 83282. First we will calculate the prime factors of 83268 and 83282.

Prime Factorization of 83268

Prime Factorization of 83282

Now multiplying the highest exponent prime factors to calculate the LCM of 83268 and 83282.

LCM(83268,83282) = 2² × 3⁴ × 257¹ × 41641¹
LCM(83268,83282) = 3467362788