Least Common Multiple of 1494 and 1497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1494 and 1497 the smallest integer that is 745506 that is divisible by both numbers.

Least Common Multiple (LCM) of 1494 and 1497 is 745506.

LCM(1494,1497) = 745506

LCM of 1494 and 1497

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

LCM of:
and

Least Common Multiple of 1494 and 1497

LCM of 1494 and 1497 is 745506

Least common multiple can be found by multiplying the highest exponent prime factors of 1494 and 1497. First we will calculate the prime factors of 1494 and 1497.

Prime Factorization of 1494


2 1494
3 747
3 249
83 83
1

Prime factors of 1494 are 2, 3,83. Prime factorization of 1494 in exponential form is:

1494 = 21×32×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1494 and 1497.

LCM(1494,1497) = 21×32×831×4991
LCM(1494,1497) = 745506

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494

Factors of 1497

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

1, 3, 499, 1497

Least Common Multiple of 1494 and 1497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1494 and 1497, than apply into the LCM equation.

GCF(1494,1497) = 3
LCM(1494,1497) = ( 1494 × 1497) / 3
LCM(1494,1497) = 2236518 / 3
LCM(1494,1497) = 745506

Properties of LCM 1494 and 1497

(i) The LCM of 1497 and 1494 is associative

LCM of 1494 and 1497 = LCM of 1497 and 1494

Related Least Common Multiples of 1494

Related Least Common Multiples of 1497

Frequently Asked Questions on LCM of 1494 and 1497

1. What is the LCM of 1494 and 1497?

Answer: LCM of 1494 and 1497 is 745506.

2. What are the Factors of 1494?

Answer: Factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. There are 12 integers that are factors of 1494. The greatest factor of 1494 is 1494.

3. 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.

4. How to Find the LCM of 1494 and 1497?

Answer:

Least Common Multiple of 1494 and 1497 = 745506

Step 1: Find the prime factorization of 1494

1494 = 2 x 3 x 3 x 83

Step 2: Find the prime factorization of 1497

1497 = 3 x 499

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

LCM = 745506 = 2 x 3 x 3 x 83 x 499

Step 4: Therefore, the least common multiple of 1494 and 1497 is 745506.