What is the Least Common Multiple of 3305 and 3320?

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 3305 and 3320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3305 and 3320, than apply into the LCM equation.

GCF(3305,3320) = 5
LCM(3305,3320) = ( 3305 × 3320) / 5
LCM(3305,3320) = 10972600 / 5
LCM(3305,3320) = 2194520

Least Common Multiple (LCM) of 3305 and 3320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3320. First we will calculate the prime factors of 3305 and 3320.

Prime Factorization of 3305

Prime Factorization of 3320

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3320.

LCM(3305,3320) = 5¹ × 661¹ × 2³ × 83¹
LCM(3305,3320) = 2194520