Least Common Multiple of 498 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 498 and 506 the smallest integer that is 125994 that is divisible by both numbers.

Least Common Multiple (LCM) of 498 and 506 is 125994.

LCM(498,506) = 125994

LCM of 498 and 506

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

LCM of:
and

Least Common Multiple of 498 and 506

LCM of 498 and 506 is 125994

Least common multiple can be found by multiplying the highest exponent prime factors of 498 and 506. First we will calculate the prime factors of 498 and 506.

Prime Factorization of 498


2 498
3 249
83 83
1

Prime factors of 498 are 2, 3,83. Prime factorization of 498 in exponential form is:

498 = 21×31×831

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 498 and 506.

LCM(498,506) = 21×31×111×231×831
LCM(498,506) = 125994

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 498 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 498 and 506, than apply into the LCM equation.

GCF(498,506) = 2
LCM(498,506) = ( 498 × 506) / 2
LCM(498,506) = 251988 / 2
LCM(498,506) = 125994

Properties of LCM 498 and 506

(i) The LCM of 506 and 498 is associative

LCM of 498 and 506 = LCM of 506 and 498

Related Least Common Multiples of 498

Related Least Common Multiples of 506

Frequently Asked Questions on LCM of 498 and 506

1. What is the LCM of 498 and 506?

Answer: LCM of 498 and 506 is 125994.

2. What are the Factors of 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

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 498 and 506?

Answer:

Least Common Multiple of 498 and 506 = 125994

Step 1: Find the prime factorization of 498

498 = 2 x 3 x 83

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 = 125994 = 2 x 3 x 11 x 23 x 83

Step 4: Therefore, the least common multiple of 498 and 506 is 125994.