What is the Least Common Multiple of 3363 and 3369?

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 3363 and 3369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3363 and 3369, than apply into the LCM equation.

GCF(3363,3369) = 3
LCM(3363,3369) = ( 3363 × 3369) / 3
LCM(3363,3369) = 11329947 / 3
LCM(3363,3369) = 3776649

Least Common Multiple (LCM) of 3363 and 3369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3363 and 3369. First we will calculate the prime factors of 3363 and 3369.

Prime Factorization of 3363

Prime Factorization of 3369

Now multiplying the highest exponent prime factors to calculate the LCM of 3363 and 3369.

LCM(3363,3369) = 3¹ × 19¹ × 59¹ × 1123¹
LCM(3363,3369) = 3776649