Least Common Multiple of 515 and 522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 515 and 522 the smallest integer that is 268830 that is divisible by both numbers.

Least Common Multiple (LCM) of 515 and 522 is 268830.

LCM(515,522) = 268830

LCM of 515 and 522

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

LCM of:
and

Least Common Multiple of 515 and 522

LCM of 515 and 522 is 268830

Least common multiple can be found by multiplying the highest exponent prime factors of 515 and 522. First we will calculate the prime factors of 515 and 522.

Prime Factorization of 515


5 515
103 103
1

Prime factors of 515 are 5,103. Prime factorization of 515 in exponential form is:

515 = 51×1031

Prime Factorization of 522


2 522
3 261
3 87
29 29
1

Prime factors of 522 are 2, 3,29. Prime factorization of 522 in exponential form is:

522 = 21×32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 515 and 522.

LCM(515,522) = 21×32×51×291×1031
LCM(515,522) = 268830

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Least Common Multiple of 515 and 522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 515 and 522, than apply into the LCM equation.

GCF(515,522) = 1
LCM(515,522) = ( 515 × 522) / 1
LCM(515,522) = 268830 / 1
LCM(515,522) = 268830

Properties of LCM 515 and 522

(i) The LCM of 522 and 515 is associative

LCM of 515 and 522 = LCM of 522 and 515

Related Least Common Multiples of 515

Related Least Common Multiples of 522

Frequently Asked Questions on LCM of 515 and 522

1. What is the LCM of 515 and 522?

Answer: LCM of 515 and 522 is 268830.

2. What are the Factors of 515?

Answer: Factors of 515 are 1, 5, 103, 515. There are 4 integers that are factors of 515. The greatest factor of 515 is 515.

3. What are the Factors of 522?

Answer: Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. There are 12 integers that are factors of 522. The greatest factor of 522 is 522.

4. How to Find the LCM of 515 and 522?

Answer:

Least Common Multiple of 515 and 522 = 268830

Step 1: Find the prime factorization of 515

515 = 5 x 103

Step 2: Find the prime factorization of 522

522 = 2 x 3 x 3 x 29

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

LCM = 268830 = 2 x 3 x 3 x 5 x 29 x 103

Step 4: Therefore, the least common multiple of 515 and 522 is 268830.