Least Common Multiple of 1485 and 1489

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 1489 the smallest integer that is 2211165 that is divisible by both numbers.

Least Common Multiple (LCM) of 1485 and 1489 is 2211165.

LCM(1485,1489) = 2211165

LCM of 1485 and 1489

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

LCM of:
and

Least Common Multiple of 1485 and 1489

LCM of 1485 and 1489 is 2211165

Least common multiple can be found by multiplying the highest exponent prime factors of 1485 and 1489. First we will calculate the prime factors of 1485 and 1489.

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 1489


1489 1489
1

Prime factors of 1489 are 1489. Prime factorization of 1489 in exponential form is:

1489 = 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 1485 and 1489.

LCM(1485,1489) = 33×51×111×14891
LCM(1485,1489) = 2211165

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 1489

List of positive integer factors of 1489 that divides 1489 without a remainder.

1, 1489

Least Common Multiple of 1485 and 1489 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 1489, than apply into the LCM equation.

GCF(1485,1489) = 1
LCM(1485,1489) = ( 1485 × 1489) / 1
LCM(1485,1489) = 2211165 / 1
LCM(1485,1489) = 2211165

Properties of LCM 1485 and 1489

(i) The LCM of 1489 and 1485 is associative

LCM of 1485 and 1489 = LCM of 1489 and 1485

Related Least Common Multiples of 1485

Related Least Common Multiples of 1489

Frequently Asked Questions on LCM of 1485 and 1489

1. What is the LCM of 1485 and 1489?

Answer: LCM of 1485 and 1489 is 2211165.

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 1489?

Answer: Factors of 1489 are 1, 1489. There are 2 integers that are factors of 1489. The greatest factor of 1489 is 1489.

4. How to Find the LCM of 1485 and 1489?

Answer:

Least Common Multiple of 1485 and 1489 = 2211165

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 1489

1489 = 1489

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

LCM = 2211165 = 3 x 3 x 3 x 5 x 11 x 1489

Step 4: Therefore, the least common multiple of 1485 and 1489 is 2211165.