Least Common Multiple of 3258 and 3262

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 3262 the smallest integer that is 5313798 that is divisible by both numbers.

Least Common Multiple (LCM) of 3258 and 3262 is 5313798.

LCM(3258,3262) = 5313798

LCM of 3258 and 3262

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

LCM of:
and

Least Common Multiple of 3258 and 3262

LCM of 3258 and 3262 is 5313798

Least common multiple can be found by multiplying the highest exponent prime factors of 3258 and 3262. First we will calculate the prime factors of 3258 and 3262.

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 3262


2 3262
7 1631
233 233
1

Prime factors of 3262 are 2, 7,233. Prime factorization of 3262 in exponential form is:

3262 = 21×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3258 and 3262.

LCM(3258,3262) = 21×32×71×1811×2331
LCM(3258,3262) = 5313798

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 3262

List of positive integer factors of 3262 that divides 3262 without a remainder.

1, 2, 7, 14, 233, 466, 1631, 3262

Least Common Multiple of 3258 and 3262 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 3262, than apply into the LCM equation.

GCF(3258,3262) = 2
LCM(3258,3262) = ( 3258 × 3262) / 2
LCM(3258,3262) = 10627596 / 2
LCM(3258,3262) = 5313798

Properties of LCM 3258 and 3262

(i) The LCM of 3262 and 3258 is associative

LCM of 3258 and 3262 = LCM of 3262 and 3258

Related Least Common Multiples of 3258

Related Least Common Multiples of 3262

Frequently Asked Questions on LCM of 3258 and 3262

1. What is the LCM of 3258 and 3262?

Answer: LCM of 3258 and 3262 is 5313798.

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 3262?

Answer: Factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262. There are 8 integers that are factors of 3262. The greatest factor of 3262 is 3262.

4. How to Find the LCM of 3258 and 3262?

Answer:

Least Common Multiple of 3258 and 3262 = 5313798

Step 1: Find the prime factorization of 3258

3258 = 2 x 3 x 3 x 181

Step 2: Find the prime factorization of 3262

3262 = 2 x 7 x 233

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

LCM = 5313798 = 2 x 3 x 3 x 7 x 181 x 233

Step 4: Therefore, the least common multiple of 3258 and 3262 is 5313798.