What is the Least Common Multiple of 34401 and 34414?

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 34401 and 34414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34401 and 34414, than apply into the LCM equation.

GCF(34401,34414) = 1
LCM(34401,34414) = ( 34401 × 34414) / 1
LCM(34401,34414) = 1183876014 / 1
LCM(34401,34414) = 1183876014

Least Common Multiple (LCM) of 34401 and 34414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34401 and 34414. First we will calculate the prime factors of 34401 and 34414.

Prime Factorization of 34401

Prime Factorization of 34414

Now multiplying the highest exponent prime factors to calculate the LCM of 34401 and 34414.

LCM(34401,34414) = 3¹ × 11467¹ × 2¹ × 17207¹
LCM(34401,34414) = 1183876014