Least Common Multiple of 5538 and 5546

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 5546 the smallest integer that is 15356874 that is divisible by both numbers.

Least Common Multiple (LCM) of 5538 and 5546 is 15356874.

LCM(5538,5546) = 15356874

LCM of 5538 and 5546

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

LCM of:
and

Least Common Multiple of 5538 and 5546

LCM of 5538 and 5546 is 15356874

Least common multiple can be found by multiplying the highest exponent prime factors of 5538 and 5546. First we will calculate the prime factors of 5538 and 5546.

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 5546


2 5546
47 2773
59 59
1

Prime factors of 5546 are 2, 47,59. Prime factorization of 5546 in exponential form is:

5546 = 21×471×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5538 and 5546.

LCM(5538,5546) = 21×31×131×471×591×711
LCM(5538,5546) = 15356874

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 5546

List of positive integer factors of 5546 that divides 5546 without a remainder.

1, 2, 47, 59, 94, 118, 2773, 5546

Least Common Multiple of 5538 and 5546 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 5546, than apply into the LCM equation.

GCF(5538,5546) = 2
LCM(5538,5546) = ( 5538 × 5546) / 2
LCM(5538,5546) = 30713748 / 2
LCM(5538,5546) = 15356874

Properties of LCM 5538 and 5546

(i) The LCM of 5546 and 5538 is associative

LCM of 5538 and 5546 = LCM of 5546 and 5538

Related Least Common Multiples of 5538

Related Least Common Multiples of 5546

Frequently Asked Questions on LCM of 5538 and 5546

1. What is the LCM of 5538 and 5546?

Answer: LCM of 5538 and 5546 is 15356874.

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 5546?

Answer: Factors of 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546. There are 8 integers that are factors of 5546. The greatest factor of 5546 is 5546.

4. How to Find the LCM of 5538 and 5546?

Answer:

Least Common Multiple of 5538 and 5546 = 15356874

Step 1: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

Step 2: Find the prime factorization of 5546

5546 = 2 x 47 x 59

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

LCM = 15356874 = 2 x 3 x 13 x 47 x 59 x 71

Step 4: Therefore, the least common multiple of 5538 and 5546 is 15356874.