Least Common Multiple of 31497 and 31503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31497 and 31503 the smallest integer that is 330749997 that is divisible by both numbers.

Least Common Multiple (LCM) of 31497 and 31503 is 330749997.

LCM(31497,31503) = 330749997

LCM of 31497 and 31503

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

LCM of:
and

Least Common Multiple of 31497 and 31503

LCM of 31497 and 31503 is 330749997

Least common multiple can be found by multiplying the highest exponent prime factors of 31497 and 31503. First we will calculate the prime factors of 31497 and 31503.

Prime Factorization of 31497


3 31497
10499 10499
1

Prime factors of 31497 are 3,10499. Prime factorization of 31497 in exponential form is:

31497 = 31×104991

Prime Factorization of 31503


3 31503
10501 10501
1

Prime factors of 31503 are 3,10501. Prime factorization of 31503 in exponential form is:

31503 = 31×105011

Now multiplying the highest exponent prime factors to calculate the LCM of 31497 and 31503.

LCM(31497,31503) = 31×104991×105011
LCM(31497,31503) = 330749997

Factors of 31497

List of positive integer factors of 31497 that divides 31497 without a remainder.

1, 3, 10499, 31497

Factors of 31503

List of positive integer factors of 31503 that divides 31503 without a remainder.

1, 3, 10501, 31503

Least Common Multiple of 31497 and 31503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31497 and 31503, than apply into the LCM equation.

GCF(31497,31503) = 3
LCM(31497,31503) = ( 31497 × 31503) / 3
LCM(31497,31503) = 992249991 / 3
LCM(31497,31503) = 330749997

Properties of LCM 31497 and 31503

(i) The LCM of 31503 and 31497 is associative

LCM of 31497 and 31503 = LCM of 31503 and 31497

Related Least Common Multiples of 31497

Related Least Common Multiples of 31503

Frequently Asked Questions on LCM of 31497 and 31503

1. What is the LCM of 31497 and 31503?

Answer: LCM of 31497 and 31503 is 330749997.

2. What are the Factors of 31497?

Answer: Factors of 31497 are 1, 3, 10499, 31497. There are 4 integers that are factors of 31497. The greatest factor of 31497 is 31497.

3. What are the Factors of 31503?

Answer: Factors of 31503 are 1, 3, 10501, 31503. There are 4 integers that are factors of 31503. The greatest factor of 31503 is 31503.

4. How to Find the LCM of 31497 and 31503?

Answer:

Least Common Multiple of 31497 and 31503 = 330749997

Step 1: Find the prime factorization of 31497

31497 = 3 x 10499

Step 2: Find the prime factorization of 31503

31503 = 3 x 10501

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

LCM = 330749997 = 3 x 10499 x 10501

Step 4: Therefore, the least common multiple of 31497 and 31503 is 330749997.