Least Common Multiple of 1485 and 1487

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 1487 the smallest integer that is 2208195 that is divisible by both numbers.

Least Common Multiple (LCM) of 1485 and 1487 is 2208195.

LCM(1485,1487) = 2208195

LCM of 1485 and 1487

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

LCM of:
and

Least Common Multiple of 1485 and 1487

LCM of 1485 and 1487 is 2208195

Least common multiple can be found by multiplying the highest exponent prime factors of 1485 and 1487. First we will calculate the prime factors of 1485 and 1487.

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 1487


1487 1487
1

Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:

1487 = 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 1485 and 1487.

LCM(1485,1487) = 33×51×111×14871
LCM(1485,1487) = 2208195

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 1487

List of positive integer factors of 1487 that divides 1487 without a remainder.

1, 1487

Least Common Multiple of 1485 and 1487 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 1487, than apply into the LCM equation.

GCF(1485,1487) = 1
LCM(1485,1487) = ( 1485 × 1487) / 1
LCM(1485,1487) = 2208195 / 1
LCM(1485,1487) = 2208195

Properties of LCM 1485 and 1487

(i) The LCM of 1487 and 1485 is associative

LCM of 1485 and 1487 = LCM of 1487 and 1485

Related Least Common Multiples of 1485

Related Least Common Multiples of 1487

Frequently Asked Questions on LCM of 1485 and 1487

1. What is the LCM of 1485 and 1487?

Answer: LCM of 1485 and 1487 is 2208195.

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 1487?

Answer: Factors of 1487 are 1, 1487. There are 2 integers that are factors of 1487. The greatest factor of 1487 is 1487.

4. How to Find the LCM of 1485 and 1487?

Answer:

Least Common Multiple of 1485 and 1487 = 2208195

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 1487

1487 = 1487

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

LCM = 2208195 = 3 x 3 x 3 x 5 x 11 x 1487

Step 4: Therefore, the least common multiple of 1485 and 1487 is 2208195.