Least Common Multiple of 1485 and 1493

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 1493 the smallest integer that is 2217105 that is divisible by both numbers.

Least Common Multiple (LCM) of 1485 and 1493 is 2217105.

LCM(1485,1493) = 2217105

LCM of 1485 and 1493

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

LCM of:
and

Least Common Multiple of 1485 and 1493

LCM of 1485 and 1493 is 2217105

Least common multiple can be found by multiplying the highest exponent prime factors of 1485 and 1493. First we will calculate the prime factors of 1485 and 1493.

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 1493


1493 1493
1

Prime factors of 1493 are 1493. Prime factorization of 1493 in exponential form is:

1493 = 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 1485 and 1493.

LCM(1485,1493) = 33×51×111×14931
LCM(1485,1493) = 2217105

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 1493

List of positive integer factors of 1493 that divides 1493 without a remainder.

1, 1493

Least Common Multiple of 1485 and 1493 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 1493, than apply into the LCM equation.

GCF(1485,1493) = 1
LCM(1485,1493) = ( 1485 × 1493) / 1
LCM(1485,1493) = 2217105 / 1
LCM(1485,1493) = 2217105

Properties of LCM 1485 and 1493

(i) The LCM of 1493 and 1485 is associative

LCM of 1485 and 1493 = LCM of 1493 and 1485

Related Least Common Multiples of 1485

Related Least Common Multiples of 1493

Frequently Asked Questions on LCM of 1485 and 1493

1. What is the LCM of 1485 and 1493?

Answer: LCM of 1485 and 1493 is 2217105.

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 1493?

Answer: Factors of 1493 are 1, 1493. There are 2 integers that are factors of 1493. The greatest factor of 1493 is 1493.

4. How to Find the LCM of 1485 and 1493?

Answer:

Least Common Multiple of 1485 and 1493 = 2217105

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 1493

1493 = 1493

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

LCM = 2217105 = 3 x 3 x 3 x 5 x 11 x 1493

Step 4: Therefore, the least common multiple of 1485 and 1493 is 2217105.