Least Common Multiple of 5486 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 5486 and 5494 the smallest integer that is 15070042 that is divisible by both numbers.

Least Common Multiple (LCM) of 5486 and 5494 is 15070042.

LCM(5486,5494) = 15070042

LCM of 5486 and 5494

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

LCM of:
and

Least Common Multiple of 5486 and 5494

LCM of 5486 and 5494 is 15070042

Least common multiple can be found by multiplying the highest exponent prime factors of 5486 and 5494. First we will calculate the prime factors of 5486 and 5494.

Prime Factorization of 5486


2 5486
13 2743
211 211
1

Prime factors of 5486 are 2, 13,211. Prime factorization of 5486 in exponential form is:

5486 = 21×131×2111

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 5486 and 5494.

LCM(5486,5494) = 21×131×411×671×2111
LCM(5486,5494) = 15070042

Factors of 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1, 2, 13, 26, 211, 422, 2743, 5486

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 5486 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 5486 and 5494, than apply into the LCM equation.

GCF(5486,5494) = 2
LCM(5486,5494) = ( 5486 × 5494) / 2
LCM(5486,5494) = 30140084 / 2
LCM(5486,5494) = 15070042

Properties of LCM 5486 and 5494

(i) The LCM of 5494 and 5486 is associative

LCM of 5486 and 5494 = LCM of 5494 and 5486

Related Least Common Multiples of 5486

Related Least Common Multiples of 5494

Frequently Asked Questions on LCM of 5486 and 5494

1. What is the LCM of 5486 and 5494?

Answer: LCM of 5486 and 5494 is 15070042.

2. What are the Factors of 5486?

Answer: Factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486. There are 8 integers that are factors of 5486. The greatest factor of 5486 is 5486.

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 5486 and 5494?

Answer:

Least Common Multiple of 5486 and 5494 = 15070042

Step 1: Find the prime factorization of 5486

5486 = 2 x 13 x 211

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 = 15070042 = 2 x 13 x 41 x 67 x 211

Step 4: Therefore, the least common multiple of 5486 and 5494 is 15070042.