Least Common Multiple of 3237 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 3237 and 3240 the smallest integer that is 3495960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3237 and 3240 is 3495960.

LCM(3237,3240) = 3495960

LCM of 3237 and 3240

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

LCM of:
and

Least Common Multiple of 3237 and 3240

LCM of 3237 and 3240 is 3495960

Least common multiple can be found by multiplying the highest exponent prime factors of 3237 and 3240. First we will calculate the prime factors of 3237 and 3240.

Prime Factorization of 3237


3 3237
13 1079
83 83
1

Prime factors of 3237 are 3, 13,83. Prime factorization of 3237 in exponential form is:

3237 = 31×131×831

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 3237 and 3240.

LCM(3237,3240) = 23×34×51×131×831
LCM(3237,3240) = 3495960

Factors of 3237

List of positive integer factors of 3237 that divides 3237 without a remainder.

1, 3, 13, 39, 83, 249, 1079, 3237

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 3237 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 3237 and 3240, than apply into the LCM equation.

GCF(3237,3240) = 3
LCM(3237,3240) = ( 3237 × 3240) / 3
LCM(3237,3240) = 10487880 / 3
LCM(3237,3240) = 3495960

Properties of LCM 3237 and 3240

(i) The LCM of 3240 and 3237 is associative

LCM of 3237 and 3240 = LCM of 3240 and 3237

Related Least Common Multiples of 3237

Related Least Common Multiples of 3240

Frequently Asked Questions on LCM of 3237 and 3240

1. What is the LCM of 3237 and 3240?

Answer: LCM of 3237 and 3240 is 3495960.

2. What are the Factors of 3237?

Answer: Factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237. There are 8 integers that are factors of 3237. The greatest factor of 3237 is 3237.

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 3237 and 3240?

Answer:

Least Common Multiple of 3237 and 3240 = 3495960

Step 1: Find the prime factorization of 3237

3237 = 3 x 13 x 83

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 = 3495960 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 83

Step 4: Therefore, the least common multiple of 3237 and 3240 is 3495960.