Least Common Multiple of 1481 and 1487

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 1487 the smallest integer that is 2202247 that is divisible by both numbers.

Least Common Multiple (LCM) of 1481 and 1487 is 2202247.

LCM(1481,1487) = 2202247

LCM of 1481 and 1487

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

LCM of:
and

Least Common Multiple of 1481 and 1487

LCM of 1481 and 1487 is 2202247

Least common multiple can be found by multiplying the highest exponent prime factors of 1481 and 1487. First we will calculate the prime factors of 1481 and 1487.

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 1487


1487 1487
1

Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:

1487 = 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 1481 and 1487.

LCM(1481,1487) = 14811×14871
LCM(1481,1487) = 2202247

Factors of 1481

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

1, 1481

Factors of 1487

List of positive integer factors of 1487 that divides 1487 without a remainder.

1, 1487

Least Common Multiple of 1481 and 1487 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 1487, than apply into the LCM equation.

GCF(1481,1487) = 1
LCM(1481,1487) = ( 1481 × 1487) / 1
LCM(1481,1487) = 2202247 / 1
LCM(1481,1487) = 2202247

Properties of LCM 1481 and 1487

(i) The LCM of 1487 and 1481 is associative

LCM of 1481 and 1487 = LCM of 1487 and 1481

Related Least Common Multiples of 1481

Related Least Common Multiples of 1487

Frequently Asked Questions on LCM of 1481 and 1487

1. What is the LCM of 1481 and 1487?

Answer: LCM of 1481 and 1487 is 2202247.

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 1487?

Answer: Factors of 1487 are 1, 1487. There are 2 integers that are factors of 1487. The greatest factor of 1487 is 1487.

4. How to Find the LCM of 1481 and 1487?

Answer:

Least Common Multiple of 1481 and 1487 = 2202247

Step 1: Find the prime factorization of 1481

1481 = 1481

Step 2: Find the prime factorization of 1487

1487 = 1487

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

LCM = 2202247 = 1481 x 1487

Step 4: Therefore, the least common multiple of 1481 and 1487 is 2202247.