What is the Least Common Multiple of 33345 and 33358?

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 33345 and 33358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33345 and 33358, than apply into the LCM equation.

GCF(33345,33358) = 13
LCM(33345,33358) = ( 33345 × 33358) / 13
LCM(33345,33358) = 1112322510 / 13
LCM(33345,33358) = 85563270

Least Common Multiple (LCM) of 33345 and 33358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33345 and 33358. First we will calculate the prime factors of 33345 and 33358.

Prime Factorization of 33345

Prime Factorization of 33358

Now multiplying the highest exponent prime factors to calculate the LCM of 33345 and 33358.

LCM(33345,33358) = 3³ × 5¹ × 13¹ × 19¹ × 2¹ × 1283¹
LCM(33345,33358) = 85563270