What is the Least Common Multiple of 3345 and 3354?

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 3345 and 3354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3345 and 3354, than apply into the LCM equation.

GCF(3345,3354) = 3
LCM(3345,3354) = ( 3345 × 3354) / 3
LCM(3345,3354) = 11219130 / 3
LCM(3345,3354) = 3739710

Least Common Multiple (LCM) of 3345 and 3354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3345 and 3354. First we will calculate the prime factors of 3345 and 3354.

Prime Factorization of 3345

Prime Factorization of 3354

Now multiplying the highest exponent prime factors to calculate the LCM of 3345 and 3354.

LCM(3345,3354) = 3¹ × 5¹ × 223¹ × 2¹ × 13¹ × 43¹
LCM(3345,3354) = 3739710