Least Common Multiple of 5402 and 5403

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 5403 the smallest integer that is 29187006 that is divisible by both numbers.

Least Common Multiple (LCM) of 5402 and 5403 is 29187006.

LCM(5402,5403) = 29187006

LCM of 5402 and 5403

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

LCM of:
and

Least Common Multiple of 5402 and 5403

LCM of 5402 and 5403 is 29187006

Least common multiple can be found by multiplying the highest exponent prime factors of 5402 and 5403. First we will calculate the prime factors of 5402 and 5403.

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 5403


3 5403
1801 1801
1

Prime factors of 5403 are 3,1801. Prime factorization of 5403 in exponential form is:

5403 = 31×18011

Now multiplying the highest exponent prime factors to calculate the LCM of 5402 and 5403.

LCM(5402,5403) = 21×31×371×731×18011
LCM(5402,5403) = 29187006

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 5403

List of positive integer factors of 5403 that divides 5403 without a remainder.

1, 3, 1801, 5403

Least Common Multiple of 5402 and 5403 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 5403, than apply into the LCM equation.

GCF(5402,5403) = 1
LCM(5402,5403) = ( 5402 × 5403) / 1
LCM(5402,5403) = 29187006 / 1
LCM(5402,5403) = 29187006

Properties of LCM 5402 and 5403

(i) The LCM of 5403 and 5402 is associative

LCM of 5402 and 5403 = LCM of 5403 and 5402

Related Least Common Multiples of 5402

Related Least Common Multiples of 5403

Frequently Asked Questions on LCM of 5402 and 5403

1. What is the LCM of 5402 and 5403?

Answer: LCM of 5402 and 5403 is 29187006.

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 5403?

Answer: Factors of 5403 are 1, 3, 1801, 5403. There are 4 integers that are factors of 5403. The greatest factor of 5403 is 5403.

4. How to Find the LCM of 5402 and 5403?

Answer:

Least Common Multiple of 5402 and 5403 = 29187006

Step 1: Find the prime factorization of 5402

5402 = 2 x 37 x 73

Step 2: Find the prime factorization of 5403

5403 = 3 x 1801

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

LCM = 29187006 = 2 x 3 x 37 x 73 x 1801

Step 4: Therefore, the least common multiple of 5402 and 5403 is 29187006.