Least Common Multiple of 3253 and 3261

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 3261 the smallest integer that is 10608033 that is divisible by both numbers.

Least Common Multiple (LCM) of 3253 and 3261 is 10608033.

LCM(3253,3261) = 10608033

LCM of 3253 and 3261

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

LCM of:
and

Least Common Multiple of 3253 and 3261

LCM of 3253 and 3261 is 10608033

Least common multiple can be found by multiplying the highest exponent prime factors of 3253 and 3261. First we will calculate the prime factors of 3253 and 3261.

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 3261


3 3261
1087 1087
1

Prime factors of 3261 are 3,1087. Prime factorization of 3261 in exponential form is:

3261 = 31×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 3253 and 3261.

LCM(3253,3261) = 31×10871×32531
LCM(3253,3261) = 10608033

Factors of 3253

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

1, 3253

Factors of 3261

List of positive integer factors of 3261 that divides 3261 without a remainder.

1, 3, 1087, 3261

Least Common Multiple of 3253 and 3261 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 3261, than apply into the LCM equation.

GCF(3253,3261) = 1
LCM(3253,3261) = ( 3253 × 3261) / 1
LCM(3253,3261) = 10608033 / 1
LCM(3253,3261) = 10608033

Properties of LCM 3253 and 3261

(i) The LCM of 3261 and 3253 is associative

LCM of 3253 and 3261 = LCM of 3261 and 3253

Related Least Common Multiples of 3253

Related Least Common Multiples of 3261

Frequently Asked Questions on LCM of 3253 and 3261

1. What is the LCM of 3253 and 3261?

Answer: LCM of 3253 and 3261 is 10608033.

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 3261?

Answer: Factors of 3261 are 1, 3, 1087, 3261. There are 4 integers that are factors of 3261. The greatest factor of 3261 is 3261.

4. How to Find the LCM of 3253 and 3261?

Answer:

Least Common Multiple of 3253 and 3261 = 10608033

Step 1: Find the prime factorization of 3253

3253 = 3253

Step 2: Find the prime factorization of 3261

3261 = 3 x 1087

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

LCM = 10608033 = 3 x 1087 x 3253

Step 4: Therefore, the least common multiple of 3253 and 3261 is 10608033.