Least Common Multiple of 1476 and 1482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1476 and 1482 the smallest integer that is 364572 that is divisible by both numbers.

Least Common Multiple (LCM) of 1476 and 1482 is 364572.

LCM(1476,1482) = 364572

LCM of 1476 and 1482

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

LCM of:
and

Least Common Multiple of 1476 and 1482

LCM of 1476 and 1482 is 364572

Least common multiple can be found by multiplying the highest exponent prime factors of 1476 and 1482. First we will calculate the prime factors of 1476 and 1482.

Prime Factorization of 1476


2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 1476 are 2, 3,41. Prime factorization of 1476 in exponential form is:

1476 = 22×32×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1476 and 1482.

LCM(1476,1482) = 22×32×131×191×411
LCM(1476,1482) = 364572

Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476

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

Least Common Multiple of 1476 and 1482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1476 and 1482, than apply into the LCM equation.

GCF(1476,1482) = 6
LCM(1476,1482) = ( 1476 × 1482) / 6
LCM(1476,1482) = 2187432 / 6
LCM(1476,1482) = 364572

Properties of LCM 1476 and 1482

(i) The LCM of 1482 and 1476 is associative

LCM of 1476 and 1482 = LCM of 1482 and 1476

Related Least Common Multiples of 1476

Related Least Common Multiples of 1482

Frequently Asked Questions on LCM of 1476 and 1482

1. What is the LCM of 1476 and 1482?

Answer: LCM of 1476 and 1482 is 364572.

2. What are the Factors of 1476?

Answer: Factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. There are 18 integers that are factors of 1476. The greatest factor of 1476 is 1476.

3. 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.

4. How to Find the LCM of 1476 and 1482?

Answer:

Least Common Multiple of 1476 and 1482 = 364572

Step 1: Find the prime factorization of 1476

1476 = 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 1482

1482 = 2 x 3 x 13 x 19

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

LCM = 364572 = 2 x 2 x 3 x 3 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 1476 and 1482 is 364572.