Least Common Multiple of 509 and 515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 509 and 515 the smallest integer that is 262135 that is divisible by both numbers.

Least Common Multiple (LCM) of 509 and 515 is 262135.

LCM(509,515) = 262135

LCM of 509 and 515

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

LCM of:
and

Least Common Multiple of 509 and 515

LCM of 509 and 515 is 262135

Least common multiple can be found by multiplying the highest exponent prime factors of 509 and 515. First we will calculate the prime factors of 509 and 515.

Prime Factorization of 509


509 509
1

Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:

509 = 5091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 509 and 515.

LCM(509,515) = 51×1031×5091
LCM(509,515) = 262135

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1, 509

Factors of 515

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

1, 5, 103, 515

Least Common Multiple of 509 and 515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 509 and 515, than apply into the LCM equation.

GCF(509,515) = 1
LCM(509,515) = ( 509 × 515) / 1
LCM(509,515) = 262135 / 1
LCM(509,515) = 262135

Properties of LCM 509 and 515

(i) The LCM of 515 and 509 is associative

LCM of 509 and 515 = LCM of 515 and 509

Related Least Common Multiples of 509

Related Least Common Multiples of 515

Frequently Asked Questions on LCM of 509 and 515

1. What is the LCM of 509 and 515?

Answer: LCM of 509 and 515 is 262135.

2. What are the Factors of 509?

Answer: Factors of 509 are 1, 509. There are 2 integers that are factors of 509. The greatest factor of 509 is 509.

3. 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.

4. How to Find the LCM of 509 and 515?

Answer:

Least Common Multiple of 509 and 515 = 262135

Step 1: Find the prime factorization of 509

509 = 509

Step 2: Find the prime factorization of 515

515 = 5 x 103

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

LCM = 262135 = 5 x 103 x 509

Step 4: Therefore, the least common multiple of 509 and 515 is 262135.