What is the Least Common Multiple of 34592 and 34605?

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 34605 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 34605, than apply into the LCM equation.

GCF(34592,34605) = 1
LCM(34592,34605) = ( 34592 × 34605) / 1
LCM(34592,34605) = 1197056160 / 1
LCM(34592,34605) = 1197056160

Least Common Multiple (LCM) of 34592 and 34605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34592 and 34605. First we will calculate the prime factors of 34592 and 34605.

Prime Factorization of 34592

Prime Factorization of 34605

Now multiplying the highest exponent prime factors to calculate the LCM of 34592 and 34605.

LCM(34592,34605) = 2⁵ × 23¹ × 47¹ × 3² × 5¹ × 769¹
LCM(34592,34605) = 1197056160