GCF and LCM Calculator Logo

What is the Least Common Multiple of 3258 and 3267?

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 (LCM) of 3258 and 3267 is 1182654.

LCM(3258,3267) = 1182654

LCM Calculator and
and

Least Common Multiple of 3258 and 3267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3258 and 3267, than apply into the LCM equation.

GCF(3258,3267) = 9
LCM(3258,3267) = ( 3258 × 3267) / 9
LCM(3258,3267) = 10643886 / 9
LCM(3258,3267) = 1182654

Least Common Multiple (LCM) of 3258 and 3267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3258 and 3267. First we will calculate the prime factors of 3258 and 3267.

Prime Factorization of 3258

Prime factors of 3258 are 2, 3, 181. Prime factorization of 3258 in exponential form is:

3258 = 21 × 32 × 1811

Prime Factorization of 3267

Prime factors of 3267 are 3, 11. Prime factorization of 3267 in exponential form is:

3267 = 33 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 3258 and 3267.

LCM(3258,3267) = 21 × 33 × 1811 × 112
LCM(3258,3267) = 1182654