Least Common Multiple of 3517 and 3522

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 3522 the smallest integer that is 12386874 that is divisible by both numbers.

Least Common Multiple (LCM) of 3517 and 3522 is 12386874.

LCM(3517,3522) = 12386874

LCM of 3517 and 3522

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

LCM of:
and

Least Common Multiple of 3517 and 3522

LCM of 3517 and 3522 is 12386874

Least common multiple can be found by multiplying the highest exponent prime factors of 3517 and 3522. First we will calculate the prime factors of 3517 and 3522.

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 3522


2 3522
3 1761
587 587
1

Prime factors of 3522 are 2, 3,587. Prime factorization of 3522 in exponential form is:

3522 = 21×31×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 3517 and 3522.

LCM(3517,3522) = 21×31×5871×35171
LCM(3517,3522) = 12386874

Factors of 3517

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

1, 3517

Factors of 3522

List of positive integer factors of 3522 that divides 3522 without a remainder.

1, 2, 3, 6, 587, 1174, 1761, 3522

Least Common Multiple of 3517 and 3522 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 3522, than apply into the LCM equation.

GCF(3517,3522) = 1
LCM(3517,3522) = ( 3517 × 3522) / 1
LCM(3517,3522) = 12386874 / 1
LCM(3517,3522) = 12386874

Properties of LCM 3517 and 3522

(i) The LCM of 3522 and 3517 is associative

LCM of 3517 and 3522 = LCM of 3522 and 3517

Related Least Common Multiples of 3517

Related Least Common Multiples of 3522

Frequently Asked Questions on LCM of 3517 and 3522

1. What is the LCM of 3517 and 3522?

Answer: LCM of 3517 and 3522 is 12386874.

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 3522?

Answer: Factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522. There are 8 integers that are factors of 3522. The greatest factor of 3522 is 3522.

4. How to Find the LCM of 3517 and 3522?

Answer:

Least Common Multiple of 3517 and 3522 = 12386874

Step 1: Find the prime factorization of 3517

3517 = 3517

Step 2: Find the prime factorization of 3522

3522 = 2 x 3 x 587

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

LCM = 12386874 = 2 x 3 x 587 x 3517

Step 4: Therefore, the least common multiple of 3517 and 3522 is 12386874.