What is the Least Common Multiple of 34801 and 34817?

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 34801 and 34817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34801 and 34817, than apply into the LCM equation.

GCF(34801,34817) = 1
LCM(34801,34817) = ( 34801 × 34817) / 1
LCM(34801,34817) = 1211666417 / 1
LCM(34801,34817) = 1211666417

Least Common Multiple (LCM) of 34801 and 34817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34801 and 34817. First we will calculate the prime factors of 34801 and 34817.

Prime Factorization of 34801

Prime Factorization of 34817

Now multiplying the highest exponent prime factors to calculate the LCM of 34801 and 34817.

LCM(34801,34817) = 13¹ × 2677¹ × 37¹ × 941¹
LCM(34801,34817) = 1211666417