What is the Least Common Multiple of 3345 and 3350?

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 3350 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 3350, than apply into the LCM equation.

GCF(3345,3350) = 5
LCM(3345,3350) = ( 3345 × 3350) / 5
LCM(3345,3350) = 11205750 / 5
LCM(3345,3350) = 2241150

Least Common Multiple (LCM) of 3345 and 3350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3345 and 3350. First we will calculate the prime factors of 3345 and 3350.

Prime Factorization of 3345

Prime Factorization of 3350

Now multiplying the highest exponent prime factors to calculate the LCM of 3345 and 3350.

LCM(3345,3350) = 3¹ × 5² × 223¹ × 2¹ × 67¹
LCM(3345,3350) = 2241150