What is the Least Common Multiple of 34641 and 34661?

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 34641 and 34661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34641 and 34661, than apply into the LCM equation.

GCF(34641,34661) = 1
LCM(34641,34661) = ( 34641 × 34661) / 1
LCM(34641,34661) = 1200691701 / 1
LCM(34641,34661) = 1200691701

Least Common Multiple (LCM) of 34641 and 34661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34641 and 34661. First we will calculate the prime factors of 34641 and 34661.

Prime Factorization of 34641

Prime Factorization of 34661

Now multiplying the highest exponent prime factors to calculate the LCM of 34641 and 34661.

LCM(34641,34661) = 3³ × 1283¹ × 11¹ × 23¹ × 137¹
LCM(34641,34661) = 1200691701