What is the Least Common Multiple of 3333 and 3345?

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 3333 and 3345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3333 and 3345, than apply into the LCM equation.

GCF(3333,3345) = 3
LCM(3333,3345) = ( 3333 × 3345) / 3
LCM(3333,3345) = 11148885 / 3
LCM(3333,3345) = 3716295

Least Common Multiple (LCM) of 3333 and 3345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3333 and 3345. First we will calculate the prime factors of 3333 and 3345.

Prime Factorization of 3333

Prime Factorization of 3345

Now multiplying the highest exponent prime factors to calculate the LCM of 3333 and 3345.

LCM(3333,3345) = 3¹ × 11¹ × 101¹ × 5¹ × 223¹
LCM(3333,3345) = 3716295