What is the Least Common Multiple of 83006 and 83026?

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 83006 and 83026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83006 and 83026, than apply into the LCM equation.

GCF(83006,83026) = 2
LCM(83006,83026) = ( 83006 × 83026) / 2
LCM(83006,83026) = 6891656156 / 2
LCM(83006,83026) = 3445828078

Least Common Multiple (LCM) of 83006 and 83026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83006 and 83026. First we will calculate the prime factors of 83006 and 83026.

Prime Factorization of 83006

Prime Factorization of 83026

Now multiplying the highest exponent prime factors to calculate the LCM of 83006 and 83026.

LCM(83006,83026) = 2¹ × 7³ × 11² × 41513¹
LCM(83006,83026) = 3445828078