What is the Least Common Multiple of 34596 and 34600?

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 34596 and 34600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34596 and 34600, than apply into the LCM equation.

GCF(34596,34600) = 4
LCM(34596,34600) = ( 34596 × 34600) / 4
LCM(34596,34600) = 1197021600 / 4
LCM(34596,34600) = 299255400

Least Common Multiple (LCM) of 34596 and 34600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34596 and 34600. First we will calculate the prime factors of 34596 and 34600.

Prime Factorization of 34596

Prime Factorization of 34600

Now multiplying the highest exponent prime factors to calculate the LCM of 34596 and 34600.

LCM(34596,34600) = 2³ × 3² × 31² × 5² × 173¹
LCM(34596,34600) = 299255400