Least Common Multiple of 1476 and 1484

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 1484 the smallest integer that is 547596 that is divisible by both numbers.

Least Common Multiple (LCM) of 1476 and 1484 is 547596.

LCM(1476,1484) = 547596

LCM of 1476 and 1484

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

LCM of:
and

Least Common Multiple of 1476 and 1484

LCM of 1476 and 1484 is 547596

Least common multiple can be found by multiplying the highest exponent prime factors of 1476 and 1484. First we will calculate the prime factors of 1476 and 1484.

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 1484


2 1484
2 742
7 371
53 53
1

Prime factors of 1484 are 2, 7,53. Prime factorization of 1484 in exponential form is:

1484 = 22×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1476 and 1484.

LCM(1476,1484) = 22×32×71×411×531
LCM(1476,1484) = 547596

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 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484

Least Common Multiple of 1476 and 1484 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 1484, than apply into the LCM equation.

GCF(1476,1484) = 4
LCM(1476,1484) = ( 1476 × 1484) / 4
LCM(1476,1484) = 2190384 / 4
LCM(1476,1484) = 547596

Properties of LCM 1476 and 1484

(i) The LCM of 1484 and 1476 is associative

LCM of 1476 and 1484 = LCM of 1484 and 1476

Related Least Common Multiples of 1476

Related Least Common Multiples of 1484

Frequently Asked Questions on LCM of 1476 and 1484

1. What is the LCM of 1476 and 1484?

Answer: LCM of 1476 and 1484 is 547596.

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 1484?

Answer: Factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. There are 12 integers that are factors of 1484. The greatest factor of 1484 is 1484.

4. How to Find the LCM of 1476 and 1484?

Answer:

Least Common Multiple of 1476 and 1484 = 547596

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 1484

1484 = 2 x 2 x 7 x 53

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

LCM = 547596 = 2 x 2 x 3 x 3 x 7 x 41 x 53

Step 4: Therefore, the least common multiple of 1476 and 1484 is 547596.