What is the Least Common Multiple of 34565 and 34583?

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 34565 and 34583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34565 and 34583, than apply into the LCM equation.

GCF(34565,34583) = 1
LCM(34565,34583) = ( 34565 × 34583) / 1
LCM(34565,34583) = 1195361395 / 1
LCM(34565,34583) = 1195361395

Least Common Multiple (LCM) of 34565 and 34583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34565 and 34583. First we will calculate the prime factors of 34565 and 34583.

Prime Factorization of 34565

Prime Factorization of 34583

Now multiplying the highest exponent prime factors to calculate the LCM of 34565 and 34583.

LCM(34565,34583) = 5¹ × 31¹ × 223¹ × 34583¹
LCM(34565,34583) = 1195361395