Least Common Multiple of 1485 and 1491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1485 and 1491 the smallest integer that is 738045 that is divisible by both numbers.

Least Common Multiple (LCM) of 1485 and 1491 is 738045.

LCM(1485,1491) = 738045

LCM of 1485 and 1491

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

LCM of:
and

Least Common Multiple of 1485 and 1491

LCM of 1485 and 1491 is 738045

Least common multiple can be found by multiplying the highest exponent prime factors of 1485 and 1491. First we will calculate the prime factors of 1485 and 1491.

Prime Factorization of 1485


3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 1485 are 3, 5,11. Prime factorization of 1485 in exponential form is:

1485 = 33×51×111

Prime Factorization of 1491


3 1491
7 497
71 71
1

Prime factors of 1491 are 3, 7,71. Prime factorization of 1491 in exponential form is:

1491 = 31×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1485 and 1491.

LCM(1485,1491) = 33×51×71×111×711
LCM(1485,1491) = 738045

Factors of 1485

List of positive integer factors of 1485 that divides 1485 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1, 3, 7, 21, 71, 213, 497, 1491

Least Common Multiple of 1485 and 1491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1485 and 1491, than apply into the LCM equation.

GCF(1485,1491) = 3
LCM(1485,1491) = ( 1485 × 1491) / 3
LCM(1485,1491) = 2214135 / 3
LCM(1485,1491) = 738045

Properties of LCM 1485 and 1491

(i) The LCM of 1491 and 1485 is associative

LCM of 1485 and 1491 = LCM of 1491 and 1485

Related Least Common Multiples of 1485

Related Least Common Multiples of 1491

Frequently Asked Questions on LCM of 1485 and 1491

1. What is the LCM of 1485 and 1491?

Answer: LCM of 1485 and 1491 is 738045.

2. What are the Factors of 1485?

Answer: Factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485. There are 16 integers that are factors of 1485. The greatest factor of 1485 is 1485.

3. What are the Factors of 1491?

Answer: Factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491. There are 8 integers that are factors of 1491. The greatest factor of 1491 is 1491.

4. How to Find the LCM of 1485 and 1491?

Answer:

Least Common Multiple of 1485 and 1491 = 738045

Step 1: Find the prime factorization of 1485

1485 = 3 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 1491

1491 = 3 x 7 x 71

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

LCM = 738045 = 3 x 3 x 3 x 5 x 7 x 11 x 71

Step 4: Therefore, the least common multiple of 1485 and 1491 is 738045.