Least Common Multiple of 5402 and 5406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5402 and 5406 the smallest integer that is 14601606 that is divisible by both numbers.

Least Common Multiple (LCM) of 5402 and 5406 is 14601606.

LCM(5402,5406) = 14601606

LCM of 5402 and 5406

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

LCM of:
and

Least Common Multiple of 5402 and 5406

LCM of 5402 and 5406 is 14601606

Least common multiple can be found by multiplying the highest exponent prime factors of 5402 and 5406. First we will calculate the prime factors of 5402 and 5406.

Prime Factorization of 5402


2 5402
37 2701
73 73
1

Prime factors of 5402 are 2, 37,73. Prime factorization of 5402 in exponential form is:

5402 = 21×371×731

Prime Factorization of 5406


2 5406
3 2703
17 901
53 53
1

Prime factors of 5406 are 2, 3, 17,53. Prime factorization of 5406 in exponential form is:

5406 = 21×31×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5402 and 5406.

LCM(5402,5406) = 21×31×171×371×531×731
LCM(5402,5406) = 14601606

Factors of 5402

List of positive integer factors of 5402 that divides 5402 without a remainder.

1, 2, 37, 73, 74, 146, 2701, 5402

Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406

Least Common Multiple of 5402 and 5406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5402 and 5406, than apply into the LCM equation.

GCF(5402,5406) = 2
LCM(5402,5406) = ( 5402 × 5406) / 2
LCM(5402,5406) = 29203212 / 2
LCM(5402,5406) = 14601606

Properties of LCM 5402 and 5406

(i) The LCM of 5406 and 5402 is associative

LCM of 5402 and 5406 = LCM of 5406 and 5402

Related Least Common Multiples of 5402

Related Least Common Multiples of 5406

Frequently Asked Questions on LCM of 5402 and 5406

1. What is the LCM of 5402 and 5406?

Answer: LCM of 5402 and 5406 is 14601606.

2. What are the Factors of 5402?

Answer: Factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402. There are 8 integers that are factors of 5402. The greatest factor of 5402 is 5402.

3. What are the Factors of 5406?

Answer: Factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406. There are 16 integers that are factors of 5406. The greatest factor of 5406 is 5406.

4. How to Find the LCM of 5402 and 5406?

Answer:

Least Common Multiple of 5402 and 5406 = 14601606

Step 1: Find the prime factorization of 5402

5402 = 2 x 37 x 73

Step 2: Find the prime factorization of 5406

5406 = 2 x 3 x 17 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 = 14601606 = 2 x 3 x 17 x 37 x 53 x 73

Step 4: Therefore, the least common multiple of 5402 and 5406 is 14601606.