Least Common Multiple of 3258 and 3266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3258 and 3266 the smallest integer that is 5320314 that is divisible by both numbers.

Least Common Multiple (LCM) of 3258 and 3266 is 5320314.

LCM(3258,3266) = 5320314

LCM of 3258 and 3266

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3258 and 3266

LCM of 3258 and 3266 is 5320314

Least common multiple can be found by multiplying the highest exponent prime factors of 3258 and 3266. First we will calculate the prime factors of 3258 and 3266.

Prime Factorization of 3258


2 3258
3 1629
3 543
181 181
1

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

3258 = 21×32×1811

Prime Factorization of 3266


2 3266
23 1633
71 71
1

Prime factors of 3266 are 2, 23,71. Prime factorization of 3266 in exponential form is:

3266 = 21×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3258 and 3266.

LCM(3258,3266) = 21×32×231×711×1811
LCM(3258,3266) = 5320314

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258

Factors of 3266

List of positive integer factors of 3266 that divides 3266 without a remainder.

1, 2, 23, 46, 71, 142, 1633, 3266

Least Common Multiple of 3258 and 3266 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 3266, than apply into the LCM equation.

GCF(3258,3266) = 2
LCM(3258,3266) = ( 3258 × 3266) / 2
LCM(3258,3266) = 10640628 / 2
LCM(3258,3266) = 5320314

Properties of LCM 3258 and 3266

(i) The LCM of 3266 and 3258 is associative

LCM of 3258 and 3266 = LCM of 3266 and 3258

Related Least Common Multiples of 3258

Related Least Common Multiples of 3266

Frequently Asked Questions on LCM of 3258 and 3266

1. What is the LCM of 3258 and 3266?

Answer: LCM of 3258 and 3266 is 5320314.

2. What are the Factors of 3258?

Answer: Factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258. There are 12 integers that are factors of 3258. The greatest factor of 3258 is 3258.

3. What are the Factors of 3266?

Answer: Factors of 3266 are 1, 2, 23, 46, 71, 142, 1633, 3266. There are 8 integers that are factors of 3266. The greatest factor of 3266 is 3266.

4. How to Find the LCM of 3258 and 3266?

Answer:

Least Common Multiple of 3258 and 3266 = 5320314

Step 1: Find the prime factorization of 3258

3258 = 2 x 3 x 3 x 181

Step 2: Find the prime factorization of 3266

3266 = 2 x 23 x 71

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5320314 = 2 x 3 x 3 x 23 x 71 x 181

Step 4: Therefore, the least common multiple of 3258 and 3266 is 5320314.