Least Common Multiple of 3233 and 3240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3233 and 3240 the smallest integer that is 10474920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3233 and 3240 is 10474920.

LCM(3233,3240) = 10474920

LCM of 3233 and 3240

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

LCM of:
and

Least Common Multiple of 3233 and 3240

LCM of 3233 and 3240 is 10474920

Least common multiple can be found by multiplying the highest exponent prime factors of 3233 and 3240. First we will calculate the prime factors of 3233 and 3240.

Prime Factorization of 3233


53 3233
61 61
1

Prime factors of 3233 are 53,61. Prime factorization of 3233 in exponential form is:

3233 = 531×611

Prime Factorization of 3240


2 3240
2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 3240 are 2, 3,5. Prime factorization of 3240 in exponential form is:

3240 = 23×34×51

Now multiplying the highest exponent prime factors to calculate the LCM of 3233 and 3240.

LCM(3233,3240) = 23×34×51×531×611
LCM(3233,3240) = 10474920

Factors of 3233

List of positive integer factors of 3233 that divides 3233 without a remainder.

1, 53, 61, 3233

Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240

Least Common Multiple of 3233 and 3240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3233 and 3240, than apply into the LCM equation.

GCF(3233,3240) = 1
LCM(3233,3240) = ( 3233 × 3240) / 1
LCM(3233,3240) = 10474920 / 1
LCM(3233,3240) = 10474920

Properties of LCM 3233 and 3240

(i) The LCM of 3240 and 3233 is associative

LCM of 3233 and 3240 = LCM of 3240 and 3233

Related Least Common Multiples of 3233

Related Least Common Multiples of 3240

Frequently Asked Questions on LCM of 3233 and 3240

1. What is the LCM of 3233 and 3240?

Answer: LCM of 3233 and 3240 is 10474920.

2. What are the Factors of 3233?

Answer: Factors of 3233 are 1, 53, 61, 3233. There are 4 integers that are factors of 3233. The greatest factor of 3233 is 3233.

3. What are the Factors of 3240?

Answer: Factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240. There are 40 integers that are factors of 3240. The greatest factor of 3240 is 3240.

4. How to Find the LCM of 3233 and 3240?

Answer:

Least Common Multiple of 3233 and 3240 = 10474920

Step 1: Find the prime factorization of 3233

3233 = 53 x 61

Step 2: Find the prime factorization of 3240

3240 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

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

LCM = 10474920 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 53 x 61

Step 4: Therefore, the least common multiple of 3233 and 3240 is 10474920.