Least Common Multiple of 3505 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 3505 and 3510 the smallest integer that is 2460510 that is divisible by both numbers.

Least Common Multiple (LCM) of 3505 and 3510 is 2460510.

LCM(3505,3510) = 2460510

LCM of 3505 and 3510

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

LCM of:
and

Least Common Multiple of 3505 and 3510

LCM of 3505 and 3510 is 2460510

Least common multiple can be found by multiplying the highest exponent prime factors of 3505 and 3510. First we will calculate the prime factors of 3505 and 3510.

Prime Factorization of 3505


5 3505
701 701
1

Prime factors of 3505 are 5,701. Prime factorization of 3505 in exponential form is:

3505 = 51×7011

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 3505 and 3510.

LCM(3505,3510) = 21×33×51×131×7011
LCM(3505,3510) = 2460510

Factors of 3505

List of positive integer factors of 3505 that divides 3505 without a remainder.

1, 5, 701, 3505

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 3505 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 3505 and 3510, than apply into the LCM equation.

GCF(3505,3510) = 5
LCM(3505,3510) = ( 3505 × 3510) / 5
LCM(3505,3510) = 12302550 / 5
LCM(3505,3510) = 2460510

Properties of LCM 3505 and 3510

(i) The LCM of 3510 and 3505 is associative

LCM of 3505 and 3510 = LCM of 3510 and 3505

Related Least Common Multiples of 3505

Related Least Common Multiples of 3510

Frequently Asked Questions on LCM of 3505 and 3510

1. What is the LCM of 3505 and 3510?

Answer: LCM of 3505 and 3510 is 2460510.

2. What are the Factors of 3505?

Answer: Factors of 3505 are 1, 5, 701, 3505. There are 4 integers that are factors of 3505. The greatest factor of 3505 is 3505.

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 3505 and 3510?

Answer:

Least Common Multiple of 3505 and 3510 = 2460510

Step 1: Find the prime factorization of 3505

3505 = 5 x 701

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 = 2460510 = 2 x 3 x 3 x 3 x 5 x 13 x 701

Step 4: Therefore, the least common multiple of 3505 and 3510 is 2460510.