Least Common Multiple of 5533 and 5540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5533 and 5540 the smallest integer that is 30652820 that is divisible by both numbers.

Least Common Multiple (LCM) of 5533 and 5540 is 30652820.

LCM(5533,5540) = 30652820

LCM of 5533 and 5540

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

LCM of:
and

Least Common Multiple of 5533 and 5540

LCM of 5533 and 5540 is 30652820

Least common multiple can be found by multiplying the highest exponent prime factors of 5533 and 5540. First we will calculate the prime factors of 5533 and 5540.

Prime Factorization of 5533


11 5533
503 503
1

Prime factors of 5533 are 11,503. Prime factorization of 5533 in exponential form is:

5533 = 111×5031

Prime Factorization of 5540


2 5540
2 2770
5 1385
277 277
1

Prime factors of 5540 are 2, 5,277. Prime factorization of 5540 in exponential form is:

5540 = 22×51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 5533 and 5540.

LCM(5533,5540) = 22×51×111×2771×5031
LCM(5533,5540) = 30652820

Factors of 5533

List of positive integer factors of 5533 that divides 5533 without a remainder.

1, 11, 503, 5533

Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540

Least Common Multiple of 5533 and 5540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5533 and 5540, than apply into the LCM equation.

GCF(5533,5540) = 1
LCM(5533,5540) = ( 5533 × 5540) / 1
LCM(5533,5540) = 30652820 / 1
LCM(5533,5540) = 30652820

Properties of LCM 5533 and 5540

(i) The LCM of 5540 and 5533 is associative

LCM of 5533 and 5540 = LCM of 5540 and 5533

Related Least Common Multiples of 5533

Related Least Common Multiples of 5540

Frequently Asked Questions on LCM of 5533 and 5540

1. What is the LCM of 5533 and 5540?

Answer: LCM of 5533 and 5540 is 30652820.

2. What are the Factors of 5533?

Answer: Factors of 5533 are 1, 11, 503, 5533. There are 4 integers that are factors of 5533. The greatest factor of 5533 is 5533.

3. What are the Factors of 5540?

Answer: Factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540. There are 12 integers that are factors of 5540. The greatest factor of 5540 is 5540.

4. How to Find the LCM of 5533 and 5540?

Answer:

Least Common Multiple of 5533 and 5540 = 30652820

Step 1: Find the prime factorization of 5533

5533 = 11 x 503

Step 2: Find the prime factorization of 5540

5540 = 2 x 2 x 5 x 277

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

LCM = 30652820 = 2 x 2 x 5 x 11 x 277 x 503

Step 4: Therefore, the least common multiple of 5533 and 5540 is 30652820.