Least Common Multiple of 5487 and 5494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5487 and 5494 the smallest integer that is 30145578 that is divisible by both numbers.

Least Common Multiple (LCM) of 5487 and 5494 is 30145578.

LCM(5487,5494) = 30145578

LCM of 5487 and 5494

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

LCM of:
and

Least Common Multiple of 5487 and 5494

LCM of 5487 and 5494 is 30145578

Least common multiple can be found by multiplying the highest exponent prime factors of 5487 and 5494. First we will calculate the prime factors of 5487 and 5494.

Prime Factorization of 5487


3 5487
31 1829
59 59
1

Prime factors of 5487 are 3, 31,59. Prime factorization of 5487 in exponential form is:

5487 = 31×311×591

Prime Factorization of 5494


2 5494
41 2747
67 67
1

Prime factors of 5494 are 2, 41,67. Prime factorization of 5494 in exponential form is:

5494 = 21×411×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5487 and 5494.

LCM(5487,5494) = 21×31×311×411×591×671
LCM(5487,5494) = 30145578

Factors of 5487

List of positive integer factors of 5487 that divides 5487 without a remainder.

1, 3, 31, 59, 93, 177, 1829, 5487

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1, 2, 41, 67, 82, 134, 2747, 5494

Least Common Multiple of 5487 and 5494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5487 and 5494, than apply into the LCM equation.

GCF(5487,5494) = 1
LCM(5487,5494) = ( 5487 × 5494) / 1
LCM(5487,5494) = 30145578 / 1
LCM(5487,5494) = 30145578

Properties of LCM 5487 and 5494

(i) The LCM of 5494 and 5487 is associative

LCM of 5487 and 5494 = LCM of 5494 and 5487

Related Least Common Multiples of 5487

Related Least Common Multiples of 5494

Frequently Asked Questions on LCM of 5487 and 5494

1. What is the LCM of 5487 and 5494?

Answer: LCM of 5487 and 5494 is 30145578.

2. What are the Factors of 5487?

Answer: Factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487. There are 8 integers that are factors of 5487. The greatest factor of 5487 is 5487.

3. What are the Factors of 5494?

Answer: Factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494. There are 8 integers that are factors of 5494. The greatest factor of 5494 is 5494.

4. How to Find the LCM of 5487 and 5494?

Answer:

Least Common Multiple of 5487 and 5494 = 30145578

Step 1: Find the prime factorization of 5487

5487 = 3 x 31 x 59

Step 2: Find the prime factorization of 5494

5494 = 2 x 41 x 67

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

LCM = 30145578 = 2 x 3 x 31 x 41 x 59 x 67

Step 4: Therefore, the least common multiple of 5487 and 5494 is 30145578.