What is the Least Common Multiple of 33340 and 33345?

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 33340 and 33345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33340 and 33345, than apply into the LCM equation.

GCF(33340,33345) = 5
LCM(33340,33345) = ( 33340 × 33345) / 5
LCM(33340,33345) = 1111722300 / 5
LCM(33340,33345) = 222344460

Least Common Multiple (LCM) of 33340 and 33345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33340 and 33345. First we will calculate the prime factors of 33340 and 33345.

Prime Factorization of 33340

Prime Factorization of 33345

Now multiplying the highest exponent prime factors to calculate the LCM of 33340 and 33345.

LCM(33340,33345) = 2² × 5¹ × 1667¹ × 3³ × 13¹ × 19¹
LCM(33340,33345) = 222344460