Least Common Multiple of 5403 and 5411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5403 and 5411 the smallest integer that is 29235633 that is divisible by both numbers.

Least Common Multiple (LCM) of 5403 and 5411 is 29235633.

LCM(5403,5411) = 29235633

LCM of 5403 and 5411

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

LCM of:
and

Least Common Multiple of 5403 and 5411

LCM of 5403 and 5411 is 29235633

Least common multiple can be found by multiplying the highest exponent prime factors of 5403 and 5411. First we will calculate the prime factors of 5403 and 5411.

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

Prime Factorization of 5411


7 5411
773 773
1

Prime factors of 5411 are 7,773. Prime factorization of 5411 in exponential form is:

5411 = 71×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 5403 and 5411.

LCM(5403,5411) = 31×71×7731×18011
LCM(5403,5411) = 29235633

Factors of 5403

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

1, 3, 1801, 5403

Factors of 5411

List of positive integer factors of 5411 that divides 5411 without a remainder.

1, 7, 773, 5411

Least Common Multiple of 5403 and 5411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5403 and 5411, than apply into the LCM equation.

GCF(5403,5411) = 1
LCM(5403,5411) = ( 5403 × 5411) / 1
LCM(5403,5411) = 29235633 / 1
LCM(5403,5411) = 29235633

Properties of LCM 5403 and 5411

(i) The LCM of 5411 and 5403 is associative

LCM of 5403 and 5411 = LCM of 5411 and 5403

Related Least Common Multiples of 5403

Related Least Common Multiples of 5411

Frequently Asked Questions on LCM of 5403 and 5411

1. What is the LCM of 5403 and 5411?

Answer: LCM of 5403 and 5411 is 29235633.

2. 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.

3. What are the Factors of 5411?

Answer: Factors of 5411 are 1, 7, 773, 5411. There are 4 integers that are factors of 5411. The greatest factor of 5411 is 5411.

4. How to Find the LCM of 5403 and 5411?

Answer:

Least Common Multiple of 5403 and 5411 = 29235633

Step 1: Find the prime factorization of 5403

5403 = 3 x 1801

Step 2: Find the prime factorization of 5411

5411 = 7 x 773

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

LCM = 29235633 = 3 x 7 x 773 x 1801

Step 4: Therefore, the least common multiple of 5403 and 5411 is 29235633.