Least Common Multiple of 3258 and 3265

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 3265 the smallest integer that is 10637370 that is divisible by both numbers.

Least Common Multiple (LCM) of 3258 and 3265 is 10637370.

LCM(3258,3265) = 10637370

LCM of 3258 and 3265

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

LCM of:
and

Least Common Multiple of 3258 and 3265

LCM of 3258 and 3265 is 10637370

Least common multiple can be found by multiplying the highest exponent prime factors of 3258 and 3265. First we will calculate the prime factors of 3258 and 3265.

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 3265


5 3265
653 653
1

Prime factors of 3265 are 5,653. Prime factorization of 3265 in exponential form is:

3265 = 51×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 3258 and 3265.

LCM(3258,3265) = 21×32×51×1811×6531
LCM(3258,3265) = 10637370

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 3265

List of positive integer factors of 3265 that divides 3265 without a remainder.

1, 5, 653, 3265

Least Common Multiple of 3258 and 3265 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 3265, than apply into the LCM equation.

GCF(3258,3265) = 1
LCM(3258,3265) = ( 3258 × 3265) / 1
LCM(3258,3265) = 10637370 / 1
LCM(3258,3265) = 10637370

Properties of LCM 3258 and 3265

(i) The LCM of 3265 and 3258 is associative

LCM of 3258 and 3265 = LCM of 3265 and 3258

Related Least Common Multiples of 3258

Related Least Common Multiples of 3265

Frequently Asked Questions on LCM of 3258 and 3265

1. What is the LCM of 3258 and 3265?

Answer: LCM of 3258 and 3265 is 10637370.

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 3265?

Answer: Factors of 3265 are 1, 5, 653, 3265. There are 4 integers that are factors of 3265. The greatest factor of 3265 is 3265.

4. How to Find the LCM of 3258 and 3265?

Answer:

Least Common Multiple of 3258 and 3265 = 10637370

Step 1: Find the prime factorization of 3258

3258 = 2 x 3 x 3 x 181

Step 2: Find the prime factorization of 3265

3265 = 5 x 653

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

LCM = 10637370 = 2 x 3 x 3 x 5 x 181 x 653

Step 4: Therefore, the least common multiple of 3258 and 3265 is 10637370.