Least Common Multiple of 499 and 506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 499 and 506 the smallest integer that is 252494 that is divisible by both numbers.

Least Common Multiple (LCM) of 499 and 506 is 252494.

LCM(499,506) = 252494

LCM of 499 and 506

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

LCM of:
and

Least Common Multiple of 499 and 506

LCM of 499 and 506 is 252494

Least common multiple can be found by multiplying the highest exponent prime factors of 499 and 506. First we will calculate the prime factors of 499 and 506.

Prime Factorization of 499


499 499
1

Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:

499 = 4991

Prime Factorization of 506


2 506
11 253
23 23
1

Prime factors of 506 are 2, 11,23. Prime factorization of 506 in exponential form is:

506 = 21×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 499 and 506.

LCM(499,506) = 21×111×231×4991
LCM(499,506) = 252494

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1, 499

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Least Common Multiple of 499 and 506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 499 and 506, than apply into the LCM equation.

GCF(499,506) = 1
LCM(499,506) = ( 499 × 506) / 1
LCM(499,506) = 252494 / 1
LCM(499,506) = 252494

Properties of LCM 499 and 506

(i) The LCM of 506 and 499 is associative

LCM of 499 and 506 = LCM of 506 and 499

Related Least Common Multiples of 499

Related Least Common Multiples of 506

Frequently Asked Questions on LCM of 499 and 506

1. What is the LCM of 499 and 506?

Answer: LCM of 499 and 506 is 252494.

2. What are the Factors of 499?

Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.

3. What are the Factors of 506?

Answer: Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. There are 8 integers that are factors of 506. The greatest factor of 506 is 506.

4. How to Find the LCM of 499 and 506?

Answer:

Least Common Multiple of 499 and 506 = 252494

Step 1: Find the prime factorization of 499

499 = 499

Step 2: Find the prime factorization of 506

506 = 2 x 11 x 23

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

LCM = 252494 = 2 x 11 x 23 x 499

Step 4: Therefore, the least common multiple of 499 and 506 is 252494.