Least Common Multiple of 1487 and 1491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1487 and 1491 the smallest integer that is 2217117 that is divisible by both numbers.

Least Common Multiple (LCM) of 1487 and 1491 is 2217117.

LCM(1487,1491) = 2217117

LCM of 1487 and 1491

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

LCM of:
and

Least Common Multiple of 1487 and 1491

LCM of 1487 and 1491 is 2217117

Least common multiple can be found by multiplying the highest exponent prime factors of 1487 and 1491. First we will calculate the prime factors of 1487 and 1491.

Prime Factorization of 1487


1487 1487
1

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

1487 = 14871

Prime Factorization of 1491


3 1491
7 497
71 71
1

Prime factors of 1491 are 3, 7,71. Prime factorization of 1491 in exponential form is:

1491 = 31×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1487 and 1491.

LCM(1487,1491) = 31×71×711×14871
LCM(1487,1491) = 2217117

Factors of 1487

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

1, 1487

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1, 3, 7, 21, 71, 213, 497, 1491

Least Common Multiple of 1487 and 1491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1487 and 1491, than apply into the LCM equation.

GCF(1487,1491) = 1
LCM(1487,1491) = ( 1487 × 1491) / 1
LCM(1487,1491) = 2217117 / 1
LCM(1487,1491) = 2217117

Properties of LCM 1487 and 1491

(i) The LCM of 1491 and 1487 is associative

LCM of 1487 and 1491 = LCM of 1491 and 1487

Related Least Common Multiples of 1487

Related Least Common Multiples of 1491

Frequently Asked Questions on LCM of 1487 and 1491

1. What is the LCM of 1487 and 1491?

Answer: LCM of 1487 and 1491 is 2217117.

2. 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.

3. What are the Factors of 1491?

Answer: Factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491. There are 8 integers that are factors of 1491. The greatest factor of 1491 is 1491.

4. How to Find the LCM of 1487 and 1491?

Answer:

Least Common Multiple of 1487 and 1491 = 2217117

Step 1: Find the prime factorization of 1487

1487 = 1487

Step 2: Find the prime factorization of 1491

1491 = 3 x 7 x 71

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

LCM = 2217117 = 3 x 7 x 71 x 1487

Step 4: Therefore, the least common multiple of 1487 and 1491 is 2217117.