Least Common Multiple of 497 and 501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 497 and 501 the smallest integer that is 248997 that is divisible by both numbers.

Least Common Multiple (LCM) of 497 and 501 is 248997.

LCM(497,501) = 248997

LCM of 497 and 501

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

LCM of:
and

Least Common Multiple of 497 and 501

LCM of 497 and 501 is 248997

Least common multiple can be found by multiplying the highest exponent prime factors of 497 and 501. First we will calculate the prime factors of 497 and 501.

Prime Factorization of 497


7 497
71 71
1

Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:

497 = 71×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 497 and 501.

LCM(497,501) = 31×71×711×1671
LCM(497,501) = 248997

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Factors of 501

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

1, 3, 167, 501

Least Common Multiple of 497 and 501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 497 and 501, than apply into the LCM equation.

GCF(497,501) = 1
LCM(497,501) = ( 497 × 501) / 1
LCM(497,501) = 248997 / 1
LCM(497,501) = 248997

Properties of LCM 497 and 501

(i) The LCM of 501 and 497 is associative

LCM of 497 and 501 = LCM of 501 and 497

Related Least Common Multiples of 497

Related Least Common Multiples of 501

Frequently Asked Questions on LCM of 497 and 501

1. What is the LCM of 497 and 501?

Answer: LCM of 497 and 501 is 248997.

2. What are the Factors of 497?

Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.

3. 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.

4. How to Find the LCM of 497 and 501?

Answer:

Least Common Multiple of 497 and 501 = 248997

Step 1: Find the prime factorization of 497

497 = 7 x 71

Step 2: Find the prime factorization of 501

501 = 3 x 167

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

LCM = 248997 = 3 x 7 x 71 x 167

Step 4: Therefore, the least common multiple of 497 and 501 is 248997.