Least Common Multiple of 1497 and 1503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1497 and 1503 the smallest integer that is 749997 that is divisible by both numbers.

Least Common Multiple (LCM) of 1497 and 1503 is 749997.

LCM(1497,1503) = 749997

LCM of 1497 and 1503

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

LCM of:
and

Least Common Multiple of 1497 and 1503

LCM of 1497 and 1503 is 749997

Least common multiple can be found by multiplying the highest exponent prime factors of 1497 and 1503. First we will calculate the prime factors of 1497 and 1503.

Prime Factorization of 1497


3 1497
499 499
1

Prime factors of 1497 are 3,499. Prime factorization of 1497 in exponential form is:

1497 = 31×4991

Prime Factorization of 1503


3 1503
3 501
167 167
1

Prime factors of 1503 are 3,167. Prime factorization of 1503 in exponential form is:

1503 = 32×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1497 and 1503.

LCM(1497,1503) = 32×1671×4991
LCM(1497,1503) = 749997

Factors of 1497

List of positive integer factors of 1497 that divides 1497 without a remainder.

1, 3, 499, 1497

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1, 3, 9, 167, 501, 1503

Least Common Multiple of 1497 and 1503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1497 and 1503, than apply into the LCM equation.

GCF(1497,1503) = 3
LCM(1497,1503) = ( 1497 × 1503) / 3
LCM(1497,1503) = 2249991 / 3
LCM(1497,1503) = 749997

Properties of LCM 1497 and 1503

(i) The LCM of 1503 and 1497 is associative

LCM of 1497 and 1503 = LCM of 1503 and 1497

Related Least Common Multiples of 1497

Related Least Common Multiples of 1503

Frequently Asked Questions on LCM of 1497 and 1503

1. What is the LCM of 1497 and 1503?

Answer: LCM of 1497 and 1503 is 749997.

2. What are the Factors of 1497?

Answer: Factors of 1497 are 1, 3, 499, 1497. There are 4 integers that are factors of 1497. The greatest factor of 1497 is 1497.

3. What are the Factors of 1503?

Answer: Factors of 1503 are 1, 3, 9, 167, 501, 1503. There are 6 integers that are factors of 1503. The greatest factor of 1503 is 1503.

4. How to Find the LCM of 1497 and 1503?

Answer:

Least Common Multiple of 1497 and 1503 = 749997

Step 1: Find the prime factorization of 1497

1497 = 3 x 499

Step 2: Find the prime factorization of 1503

1503 = 3 x 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 = 749997 = 3 x 3 x 167 x 499

Step 4: Therefore, the least common multiple of 1497 and 1503 is 749997.