What is the Least Common Multiple of 34095 and 34099?

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 34095 and 34099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34095 and 34099, than apply into the LCM equation.

GCF(34095,34099) = 1
LCM(34095,34099) = ( 34095 × 34099) / 1
LCM(34095,34099) = 1162605405 / 1
LCM(34095,34099) = 1162605405

Least Common Multiple (LCM) of 34095 and 34099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34095 and 34099. First we will calculate the prime factors of 34095 and 34099.

Prime Factorization of 34095

Prime Factorization of 34099

Now multiplying the highest exponent prime factors to calculate the LCM of 34095 and 34099.

LCM(34095,34099) = 3¹ × 5¹ × 2273¹ × 13¹ × 43¹ × 61¹
LCM(34095,34099) = 1162605405