Least Common Multiple of 1481 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 1481 and 1484 the smallest integer that is 2197804 that is divisible by both numbers.

Least Common Multiple (LCM) of 1481 and 1484 is 2197804.

LCM(1481,1484) = 2197804

LCM of 1481 and 1484

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

LCM of:
and

Least Common Multiple of 1481 and 1484

LCM of 1481 and 1484 is 2197804

Least common multiple can be found by multiplying the highest exponent prime factors of 1481 and 1484. First we will calculate the prime factors of 1481 and 1484.

Prime Factorization of 1481


1481 1481
1

Prime factors of 1481 are 1481. Prime factorization of 1481 in exponential form is:

1481 = 14811

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 1481 and 1484.

LCM(1481,1484) = 22×71×531×14811
LCM(1481,1484) = 2197804

Factors of 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1, 1481

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 1481 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 1481 and 1484, than apply into the LCM equation.

GCF(1481,1484) = 1
LCM(1481,1484) = ( 1481 × 1484) / 1
LCM(1481,1484) = 2197804 / 1
LCM(1481,1484) = 2197804

Properties of LCM 1481 and 1484

(i) The LCM of 1484 and 1481 is associative

LCM of 1481 and 1484 = LCM of 1484 and 1481

Related Least Common Multiples of 1481

Related Least Common Multiples of 1484

Frequently Asked Questions on LCM of 1481 and 1484

1. What is the LCM of 1481 and 1484?

Answer: LCM of 1481 and 1484 is 2197804.

2. What are the Factors of 1481?

Answer: Factors of 1481 are 1, 1481. There are 2 integers that are factors of 1481. The greatest factor of 1481 is 1481.

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 1481 and 1484?

Answer:

Least Common Multiple of 1481 and 1484 = 2197804

Step 1: Find the prime factorization of 1481

1481 = 1481

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 = 2197804 = 2 x 2 x 7 x 53 x 1481

Step 4: Therefore, the least common multiple of 1481 and 1484 is 2197804.