Least Common Multiple of 1482 and 1486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1482 and 1486 the smallest integer that is 1101126 that is divisible by both numbers.

Least Common Multiple (LCM) of 1482 and 1486 is 1101126.

LCM(1482,1486) = 1101126

LCM of 1482 and 1486

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

LCM of:
and

Least Common Multiple of 1482 and 1486

LCM of 1482 and 1486 is 1101126

Least common multiple can be found by multiplying the highest exponent prime factors of 1482 and 1486. First we will calculate the prime factors of 1482 and 1486.

Prime Factorization of 1482


2 1482
3 741
13 247
19 19
1

Prime factors of 1482 are 2, 3, 13,19. Prime factorization of 1482 in exponential form is:

1482 = 21×31×131×191

Prime Factorization of 1486


2 1486
743 743
1

Prime factors of 1486 are 2,743. Prime factorization of 1486 in exponential form is:

1486 = 21×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 1482 and 1486.

LCM(1482,1486) = 21×31×131×191×7431
LCM(1482,1486) = 1101126

Factors of 1482

List of positive integer factors of 1482 that divides 1482 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482

Factors of 1486

List of positive integer factors of 1486 that divides 1486 without a remainder.

1, 2, 743, 1486

Least Common Multiple of 1482 and 1486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1482 and 1486, than apply into the LCM equation.

GCF(1482,1486) = 2
LCM(1482,1486) = ( 1482 × 1486) / 2
LCM(1482,1486) = 2202252 / 2
LCM(1482,1486) = 1101126

Properties of LCM 1482 and 1486

(i) The LCM of 1486 and 1482 is associative

LCM of 1482 and 1486 = LCM of 1486 and 1482

Related Least Common Multiples of 1482

Related Least Common Multiples of 1486

Frequently Asked Questions on LCM of 1482 and 1486

1. What is the LCM of 1482 and 1486?

Answer: LCM of 1482 and 1486 is 1101126.

2. What are the Factors of 1482?

Answer: Factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482. There are 16 integers that are factors of 1482. The greatest factor of 1482 is 1482.

3. What are the Factors of 1486?

Answer: Factors of 1486 are 1, 2, 743, 1486. There are 4 integers that are factors of 1486. The greatest factor of 1486 is 1486.

4. How to Find the LCM of 1482 and 1486?

Answer:

Least Common Multiple of 1482 and 1486 = 1101126

Step 1: Find the prime factorization of 1482

1482 = 2 x 3 x 13 x 19

Step 2: Find the prime factorization of 1486

1486 = 2 x 743

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

LCM = 1101126 = 2 x 3 x 13 x 19 x 743

Step 4: Therefore, the least common multiple of 1482 and 1486 is 1101126.