Least Common Multiple of 5538 and 5545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5538 and 5545 the smallest integer that is 30708210 that is divisible by both numbers.

Least Common Multiple (LCM) of 5538 and 5545 is 30708210.

LCM(5538,5545) = 30708210

LCM of 5538 and 5545

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

LCM of:
and

Least Common Multiple of 5538 and 5545

LCM of 5538 and 5545 is 30708210

Least common multiple can be found by multiplying the highest exponent prime factors of 5538 and 5545. First we will calculate the prime factors of 5538 and 5545.

Prime Factorization of 5538


2 5538
3 2769
13 923
71 71
1

Prime factors of 5538 are 2, 3, 13,71. Prime factorization of 5538 in exponential form is:

5538 = 21×31×131×711

Prime Factorization of 5545


5 5545
1109 1109
1

Prime factors of 5545 are 5,1109. Prime factorization of 5545 in exponential form is:

5545 = 51×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 5538 and 5545.

LCM(5538,5545) = 21×31×51×131×711×11091
LCM(5538,5545) = 30708210

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538

Factors of 5545

List of positive integer factors of 5545 that divides 5545 without a remainder.

1, 5, 1109, 5545

Least Common Multiple of 5538 and 5545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5538 and 5545, than apply into the LCM equation.

GCF(5538,5545) = 1
LCM(5538,5545) = ( 5538 × 5545) / 1
LCM(5538,5545) = 30708210 / 1
LCM(5538,5545) = 30708210

Properties of LCM 5538 and 5545

(i) The LCM of 5545 and 5538 is associative

LCM of 5538 and 5545 = LCM of 5545 and 5538

Related Least Common Multiples of 5538

Related Least Common Multiples of 5545

Frequently Asked Questions on LCM of 5538 and 5545

1. What is the LCM of 5538 and 5545?

Answer: LCM of 5538 and 5545 is 30708210.

2. What are the Factors of 5538?

Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.

3. What are the Factors of 5545?

Answer: Factors of 5545 are 1, 5, 1109, 5545. There are 4 integers that are factors of 5545. The greatest factor of 5545 is 5545.

4. How to Find the LCM of 5538 and 5545?

Answer:

Least Common Multiple of 5538 and 5545 = 30708210

Step 1: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

Step 2: Find the prime factorization of 5545

5545 = 5 x 1109

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

LCM = 30708210 = 2 x 3 x 5 x 13 x 71 x 1109

Step 4: Therefore, the least common multiple of 5538 and 5545 is 30708210.