What is the Least Common Multiple of 34095 and 34100?

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 34100 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 34100, than apply into the LCM equation.

GCF(34095,34100) = 5
LCM(34095,34100) = ( 34095 × 34100) / 5
LCM(34095,34100) = 1162639500 / 5
LCM(34095,34100) = 232527900

Least Common Multiple (LCM) of 34095 and 34100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34095 and 34100. First we will calculate the prime factors of 34095 and 34100.

Prime Factorization of 34095

Prime Factorization of 34100

Now multiplying the highest exponent prime factors to calculate the LCM of 34095 and 34100.

LCM(34095,34100) = 3¹ × 5² × 2273¹ × 2² × 11¹ × 31¹
LCM(34095,34100) = 232527900