What is the Least Common Multiple of 34592 and 34596?

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 34592 and 34596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34592 and 34596, than apply into the LCM equation.

GCF(34592,34596) = 4
LCM(34592,34596) = ( 34592 × 34596) / 4
LCM(34592,34596) = 1196744832 / 4
LCM(34592,34596) = 299186208

Least Common Multiple (LCM) of 34592 and 34596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34592 and 34596. First we will calculate the prime factors of 34592 and 34596.

Prime Factorization of 34592

Prime Factorization of 34596

Now multiplying the highest exponent prime factors to calculate the LCM of 34592 and 34596.

LCM(34592,34596) = 2⁵ × 23¹ × 47¹ × 3² × 31²
LCM(34592,34596) = 299186208