What is the Least Common Multiple of 34305 and 34321?

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 34305 and 34321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34305 and 34321, than apply into the LCM equation.

GCF(34305,34321) = 1
LCM(34305,34321) = ( 34305 × 34321) / 1
LCM(34305,34321) = 1177381905 / 1
LCM(34305,34321) = 1177381905

Least Common Multiple (LCM) of 34305 and 34321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34305 and 34321. First we will calculate the prime factors of 34305 and 34321.

Prime Factorization of 34305

Prime Factorization of 34321

Now multiplying the highest exponent prime factors to calculate the LCM of 34305 and 34321.

LCM(34305,34321) = 3¹ × 5¹ × 2287¹ × 7¹ × 4903¹
LCM(34305,34321) = 1177381905