What is the Least Common Multiple of 82906 and 82926?

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 82906 and 82926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82906 and 82926, than apply into the LCM equation.

GCF(82906,82926) = 2
LCM(82906,82926) = ( 82906 × 82926) / 2
LCM(82906,82926) = 6875062956 / 2
LCM(82906,82926) = 3437531478

Least Common Multiple (LCM) of 82906 and 82926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82906 and 82926. First we will calculate the prime factors of 82906 and 82926.

Prime Factorization of 82906

Prime Factorization of 82926

Now multiplying the highest exponent prime factors to calculate the LCM of 82906 and 82926.

LCM(82906,82926) = 2¹ × 41453¹ × 3² × 17¹ × 271¹
LCM(82906,82926) = 3437531478