What is the Least Common Multiple of 34593 and 34611?

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 34593 and 34611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34593 and 34611, than apply into the LCM equation.

GCF(34593,34611) = 3
LCM(34593,34611) = ( 34593 × 34611) / 3
LCM(34593,34611) = 1197298323 / 3
LCM(34593,34611) = 399099441

Least Common Multiple (LCM) of 34593 and 34611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34593 and 34611. First we will calculate the prime factors of 34593 and 34611.

Prime Factorization of 34593

Prime Factorization of 34611

Now multiplying the highest exponent prime factors to calculate the LCM of 34593 and 34611.

LCM(34593,34611) = 3¹ × 13¹ × 887¹ × 83¹ × 139¹
LCM(34593,34611) = 399099441