Least Common Multiple of 3240 and 3245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3240 and 3245 the smallest integer that is 2102760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3240 and 3245 is 2102760.

LCM(3240,3245) = 2102760

LCM of 3240 and 3245

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

LCM of:
and

Least Common Multiple of 3240 and 3245

LCM of 3240 and 3245 is 2102760

Least common multiple can be found by multiplying the highest exponent prime factors of 3240 and 3245. First we will calculate the prime factors of 3240 and 3245.

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

Prime Factorization of 3245


5 3245
11 649
59 59
1

Prime factors of 3245 are 5, 11,59. Prime factorization of 3245 in exponential form is:

3245 = 51×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3240 and 3245.

LCM(3240,3245) = 23×34×51×111×591
LCM(3240,3245) = 2102760

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

Factors of 3245

List of positive integer factors of 3245 that divides 3245 without a remainder.

1, 5, 11, 55, 59, 295, 649, 3245

Least Common Multiple of 3240 and 3245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3240 and 3245, than apply into the LCM equation.

GCF(3240,3245) = 5
LCM(3240,3245) = ( 3240 × 3245) / 5
LCM(3240,3245) = 10513800 / 5
LCM(3240,3245) = 2102760

Properties of LCM 3240 and 3245

(i) The LCM of 3245 and 3240 is associative

LCM of 3240 and 3245 = LCM of 3245 and 3240

Related Least Common Multiples of 3240

Related Least Common Multiples of 3245

Frequently Asked Questions on LCM of 3240 and 3245

1. What is the LCM of 3240 and 3245?

Answer: LCM of 3240 and 3245 is 2102760.

2. 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.

3. What are the Factors of 3245?

Answer: Factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245. There are 8 integers that are factors of 3245. The greatest factor of 3245 is 3245.

4. How to Find the LCM of 3240 and 3245?

Answer:

Least Common Multiple of 3240 and 3245 = 2102760

Step 1: Find the prime factorization of 3240

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

Step 2: Find the prime factorization of 3245

3245 = 5 x 11 x 59

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

LCM = 2102760 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 59

Step 4: Therefore, the least common multiple of 3240 and 3245 is 2102760.