What is the Least Common Multiple of 82117 and 82133?

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 82117 and 82133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82117 and 82133, than apply into the LCM equation.

GCF(82117,82133) = 1
LCM(82117,82133) = ( 82117 × 82133) / 1
LCM(82117,82133) = 6744515561 / 1
LCM(82117,82133) = 6744515561

Least Common Multiple (LCM) of 82117 and 82133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82117 and 82133. First we will calculate the prime factors of 82117 and 82133.

Prime Factorization of 82117

Prime Factorization of 82133

Now multiplying the highest exponent prime factors to calculate the LCM of 82117 and 82133.

LCM(82117,82133) = 7¹ × 11731¹ × 23¹ × 3571¹
LCM(82117,82133) = 6744515561