What is the Least Common Multiple of 82593 and 82613?

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 82593 and 82613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82593 and 82613, than apply into the LCM equation.

GCF(82593,82613) = 1
LCM(82593,82613) = ( 82593 × 82613) / 1
LCM(82593,82613) = 6823255509 / 1
LCM(82593,82613) = 6823255509

Least Common Multiple (LCM) of 82593 and 82613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82593 and 82613. First we will calculate the prime factors of 82593 and 82613.

Prime Factorization of 82593

Prime Factorization of 82613

Now multiplying the highest exponent prime factors to calculate the LCM of 82593 and 82613.

LCM(82593,82613) = 3³ × 7¹ × 19¹ × 23¹ × 82613¹
LCM(82593,82613) = 6823255509