What is the Least Common Multiple of 3365 and 3385?

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 3365 and 3385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3365 and 3385, than apply into the LCM equation.

GCF(3365,3385) = 5
LCM(3365,3385) = ( 3365 × 3385) / 5
LCM(3365,3385) = 11390525 / 5
LCM(3365,3385) = 2278105

Least Common Multiple (LCM) of 3365 and 3385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3365 and 3385. First we will calculate the prime factors of 3365 and 3385.

Prime Factorization of 3365

Prime Factorization of 3385

Now multiplying the highest exponent prime factors to calculate the LCM of 3365 and 3385.

LCM(3365,3385) = 5¹ × 673¹ × 677¹
LCM(3365,3385) = 2278105