Least Common Multiple of 3517 and 3523

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 3523 the smallest integer that is 12390391 that is divisible by both numbers.

Least Common Multiple (LCM) of 3517 and 3523 is 12390391.

LCM(3517,3523) = 12390391

LCM of 3517 and 3523

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

LCM of:
and

Least Common Multiple of 3517 and 3523

LCM of 3517 and 3523 is 12390391

Least common multiple can be found by multiplying the highest exponent prime factors of 3517 and 3523. First we will calculate the prime factors of 3517 and 3523.

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 3523


13 3523
271 271
1

Prime factors of 3523 are 13,271. Prime factorization of 3523 in exponential form is:

3523 = 131×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 3517 and 3523.

LCM(3517,3523) = 131×2711×35171
LCM(3517,3523) = 12390391

Factors of 3517

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

1, 3517

Factors of 3523

List of positive integer factors of 3523 that divides 3523 without a remainder.

1, 13, 271, 3523

Least Common Multiple of 3517 and 3523 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 3523, than apply into the LCM equation.

GCF(3517,3523) = 1
LCM(3517,3523) = ( 3517 × 3523) / 1
LCM(3517,3523) = 12390391 / 1
LCM(3517,3523) = 12390391

Properties of LCM 3517 and 3523

(i) The LCM of 3523 and 3517 is associative

LCM of 3517 and 3523 = LCM of 3523 and 3517

Related Least Common Multiples of 3517

Related Least Common Multiples of 3523

Frequently Asked Questions on LCM of 3517 and 3523

1. What is the LCM of 3517 and 3523?

Answer: LCM of 3517 and 3523 is 12390391.

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 3523?

Answer: Factors of 3523 are 1, 13, 271, 3523. There are 4 integers that are factors of 3523. The greatest factor of 3523 is 3523.

4. How to Find the LCM of 3517 and 3523?

Answer:

Least Common Multiple of 3517 and 3523 = 12390391

Step 1: Find the prime factorization of 3517

3517 = 3517

Step 2: Find the prime factorization of 3523

3523 = 13 x 271

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

LCM = 12390391 = 13 x 271 x 3517

Step 4: Therefore, the least common multiple of 3517 and 3523 is 12390391.