Least Common Multiple of 501 and 508

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 508 the smallest integer that is 254508 that is divisible by both numbers.

Least Common Multiple (LCM) of 501 and 508 is 254508.

LCM(501,508) = 254508

LCM of 501 and 508

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

LCM of:
and

Least Common Multiple of 501 and 508

LCM of 501 and 508 is 254508

Least common multiple can be found by multiplying the highest exponent prime factors of 501 and 508. First we will calculate the prime factors of 501 and 508.

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 508


2 508
2 254
127 127
1

Prime factors of 508 are 2,127. Prime factorization of 508 in exponential form is:

508 = 22×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 501 and 508.

LCM(501,508) = 22×31×1271×1671
LCM(501,508) = 254508

Factors of 501

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

1, 3, 167, 501

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Least Common Multiple of 501 and 508 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 508, than apply into the LCM equation.

GCF(501,508) = 1
LCM(501,508) = ( 501 × 508) / 1
LCM(501,508) = 254508 / 1
LCM(501,508) = 254508

Properties of LCM 501 and 508

(i) The LCM of 508 and 501 is associative

LCM of 501 and 508 = LCM of 508 and 501

Related Least Common Multiples of 501

Related Least Common Multiples of 508

Frequently Asked Questions on LCM of 501 and 508

1. What is the LCM of 501 and 508?

Answer: LCM of 501 and 508 is 254508.

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 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

4. How to Find the LCM of 501 and 508?

Answer:

Least Common Multiple of 501 and 508 = 254508

Step 1: Find the prime factorization of 501

501 = 3 x 167

Step 2: Find the prime factorization of 508

508 = 2 x 2 x 127

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

LCM = 254508 = 2 x 2 x 3 x 127 x 167

Step 4: Therefore, the least common multiple of 501 and 508 is 254508.