Least Common Multiple of 3503 and 3510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3503 and 3510 the smallest integer that is 12295530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3503 and 3510 is 12295530.

LCM(3503,3510) = 12295530

LCM of 3503 and 3510

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

LCM of:
and

Least Common Multiple of 3503 and 3510

LCM of 3503 and 3510 is 12295530

Least common multiple can be found by multiplying the highest exponent prime factors of 3503 and 3510. First we will calculate the prime factors of 3503 and 3510.

Prime Factorization of 3503


31 3503
113 113
1

Prime factors of 3503 are 31,113. Prime factorization of 3503 in exponential form is:

3503 = 311×1131

Prime Factorization of 3510


2 3510
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 3510 are 2, 3, 5,13. Prime factorization of 3510 in exponential form is:

3510 = 21×33×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3503 and 3510.

LCM(3503,3510) = 21×33×51×131×311×1131
LCM(3503,3510) = 12295530

Factors of 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1, 31, 113, 3503

Factors of 3510

List of positive integer factors of 3510 that divides 3510 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510

Least Common Multiple of 3503 and 3510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3503 and 3510, than apply into the LCM equation.

GCF(3503,3510) = 1
LCM(3503,3510) = ( 3503 × 3510) / 1
LCM(3503,3510) = 12295530 / 1
LCM(3503,3510) = 12295530

Properties of LCM 3503 and 3510

(i) The LCM of 3510 and 3503 is associative

LCM of 3503 and 3510 = LCM of 3510 and 3503

Related Least Common Multiples of 3503

Related Least Common Multiples of 3510

Frequently Asked Questions on LCM of 3503 and 3510

1. What is the LCM of 3503 and 3510?

Answer: LCM of 3503 and 3510 is 12295530.

2. What are the Factors of 3503?

Answer: Factors of 3503 are 1, 31, 113, 3503. There are 4 integers that are factors of 3503. The greatest factor of 3503 is 3503.

3. What are the Factors of 3510?

Answer: Factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510. There are 32 integers that are factors of 3510. The greatest factor of 3510 is 3510.

4. How to Find the LCM of 3503 and 3510?

Answer:

Least Common Multiple of 3503 and 3510 = 12295530

Step 1: Find the prime factorization of 3503

3503 = 31 x 113

Step 2: Find the prime factorization of 3510

3510 = 2 x 3 x 3 x 3 x 5 x 13

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

LCM = 12295530 = 2 x 3 x 3 x 3 x 5 x 13 x 31 x 113

Step 4: Therefore, the least common multiple of 3503 and 3510 is 12295530.