What is the Least Common Multiple of 33583 and 33599?

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 33583 and 33599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33583 and 33599, than apply into the LCM equation.

GCF(33583,33599) = 1
LCM(33583,33599) = ( 33583 × 33599) / 1
LCM(33583,33599) = 1128355217 / 1
LCM(33583,33599) = 1128355217

Least Common Multiple (LCM) of 33583 and 33599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33583 and 33599. First we will calculate the prime factors of 33583 and 33599.

Prime Factorization of 33583

Prime Factorization of 33599

Now multiplying the highest exponent prime factors to calculate the LCM of 33583 and 33599.

LCM(33583,33599) = 11¹ × 43¹ × 71¹ × 33599¹
LCM(33583,33599) = 1128355217