Least Common Multiple of 501 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 501 and 506 the smallest integer that is 253506 that is divisible by both numbers.

Least Common Multiple (LCM) of 501 and 506 is 253506.

LCM(501,506) = 253506

LCM of 501 and 506

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

LCM of:
and

Least Common Multiple of 501 and 506

LCM of 501 and 506 is 253506

Least common multiple can be found by multiplying the highest exponent prime factors of 501 and 506. First we will calculate the prime factors of 501 and 506.

Prime Factorization of 501


3 501
167 167
1

Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:

501 = 31×1671

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 501 and 506.

LCM(501,506) = 21×31×111×231×1671
LCM(501,506) = 253506

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1, 3, 167, 501

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 501 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 501 and 506, than apply into the LCM equation.

GCF(501,506) = 1
LCM(501,506) = ( 501 × 506) / 1
LCM(501,506) = 253506 / 1
LCM(501,506) = 253506

Properties of LCM 501 and 506

(i) The LCM of 506 and 501 is associative

LCM of 501 and 506 = LCM of 506 and 501

Related Least Common Multiples of 501

Related Least Common Multiples of 506

Frequently Asked Questions on LCM of 501 and 506

1. What is the LCM of 501 and 506?

Answer: LCM of 501 and 506 is 253506.

2. What are the Factors of 501?

Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.

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 501 and 506?

Answer:

Least Common Multiple of 501 and 506 = 253506

Step 1: Find the prime factorization of 501

501 = 3 x 167

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 = 253506 = 2 x 3 x 11 x 23 x 167

Step 4: Therefore, the least common multiple of 501 and 506 is 253506.