Least Common Multiple of 3253 and 3258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3253 and 3258 the smallest integer that is 10598274 that is divisible by both numbers.

Least Common Multiple (LCM) of 3253 and 3258 is 10598274.

LCM(3253,3258) = 10598274

LCM of 3253 and 3258

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

LCM of:
and

Least Common Multiple of 3253 and 3258

LCM of 3253 and 3258 is 10598274

Least common multiple can be found by multiplying the highest exponent prime factors of 3253 and 3258. First we will calculate the prime factors of 3253 and 3258.

Prime Factorization of 3253


3253 3253
1

Prime factors of 3253 are 3253. Prime factorization of 3253 in exponential form is:

3253 = 32531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3253 and 3258.

LCM(3253,3258) = 21×32×1811×32531
LCM(3253,3258) = 10598274

Factors of 3253

List of positive integer factors of 3253 that divides 3253 without a remainder.

1, 3253

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

Least Common Multiple of 3253 and 3258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3253 and 3258, than apply into the LCM equation.

GCF(3253,3258) = 1
LCM(3253,3258) = ( 3253 × 3258) / 1
LCM(3253,3258) = 10598274 / 1
LCM(3253,3258) = 10598274

Properties of LCM 3253 and 3258

(i) The LCM of 3258 and 3253 is associative

LCM of 3253 and 3258 = LCM of 3258 and 3253

Related Least Common Multiples of 3253

Related Least Common Multiples of 3258

Frequently Asked Questions on LCM of 3253 and 3258

1. What is the LCM of 3253 and 3258?

Answer: LCM of 3253 and 3258 is 10598274.

2. What are the Factors of 3253?

Answer: Factors of 3253 are 1, 3253. There are 2 integers that are factors of 3253. The greatest factor of 3253 is 3253.

3. 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.

4. How to Find the LCM of 3253 and 3258?

Answer:

Least Common Multiple of 3253 and 3258 = 10598274

Step 1: Find the prime factorization of 3253

3253 = 3253

Step 2: Find the prime factorization of 3258

3258 = 2 x 3 x 3 x 181

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

LCM = 10598274 = 2 x 3 x 3 x 181 x 3253

Step 4: Therefore, the least common multiple of 3253 and 3258 is 10598274.