Least Common Multiple of 3517 and 3520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3517 and 3520 the smallest integer that is 12379840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3517 and 3520 is 12379840.

LCM(3517,3520) = 12379840

LCM of 3517 and 3520

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

LCM of:
and

Least Common Multiple of 3517 and 3520

LCM of 3517 and 3520 is 12379840

Least common multiple can be found by multiplying the highest exponent prime factors of 3517 and 3520. First we will calculate the prime factors of 3517 and 3520.

Prime Factorization of 3517


3517 3517
1

Prime factors of 3517 are 3517. Prime factorization of 3517 in exponential form is:

3517 = 35171

Prime Factorization of 3520


2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 3520 are 2, 5,11. Prime factorization of 3520 in exponential form is:

3520 = 26×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3517 and 3520.

LCM(3517,3520) = 26×51×111×35171
LCM(3517,3520) = 12379840

Factors of 3517

List of positive integer factors of 3517 that divides 3517 without a remainder.

1, 3517

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520

Least Common Multiple of 3517 and 3520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3517 and 3520, than apply into the LCM equation.

GCF(3517,3520) = 1
LCM(3517,3520) = ( 3517 × 3520) / 1
LCM(3517,3520) = 12379840 / 1
LCM(3517,3520) = 12379840

Properties of LCM 3517 and 3520

(i) The LCM of 3520 and 3517 is associative

LCM of 3517 and 3520 = LCM of 3520 and 3517

Related Least Common Multiples of 3517

Related Least Common Multiples of 3520

Frequently Asked Questions on LCM of 3517 and 3520

1. What is the LCM of 3517 and 3520?

Answer: LCM of 3517 and 3520 is 12379840.

2. What are the Factors of 3517?

Answer: Factors of 3517 are 1, 3517. There are 2 integers that are factors of 3517. The greatest factor of 3517 is 3517.

3. What are the Factors of 3520?

Answer: Factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520. There are 28 integers that are factors of 3520. The greatest factor of 3520 is 3520.

4. How to Find the LCM of 3517 and 3520?

Answer:

Least Common Multiple of 3517 and 3520 = 12379840

Step 1: Find the prime factorization of 3517

3517 = 3517

Step 2: Find the prime factorization of 3520

3520 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 12379840 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 3517

Step 4: Therefore, the least common multiple of 3517 and 3520 is 12379840.