Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5542 and 5546 the smallest integer that is 15367966 that is divisible by both numbers.
Least Common Multiple (LCM) of 5542 and 5546 is 15367966.
LCM(5542,5546) = 15367966
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5542 and 5546. First we will calculate the prime factors of 5542 and 5546.
Prime Factorization of 5542
2 | 5542 |
17 | 2771 |
163 | 163 |
1 |
Prime factors of 5542 are 2, 17,163. Prime factorization of 5542 in exponential form is:
5542 = 21×171×1631
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 5542 and 5546.
LCM(5542,5546) = 21×171×471×591×1631
LCM(5542,5546) = 15367966
Factors of 5542
List of positive integer factors of 5542 that divides 5542 without a remainder.
1, 2, 17, 34, 163, 326, 2771, 5542
Factors of 5546
List of positive integer factors of 5546 that divides 5546 without a remainder.
1, 2, 47, 59, 94, 118, 2773, 5546
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5542 and 5546, than apply into the LCM equation.
GCF(5542,5546) = 2
LCM(5542,5546) = ( 5542 × 5546) / 2
LCM(5542,5546) = 30735932 / 2
LCM(5542,5546) = 15367966
(i) The LCM of 5546 and 5542 is associative
LCM of 5542 and 5546 = LCM of 5546 and 5542
1. What is the LCM of 5542 and 5546?
Answer: LCM of 5542 and 5546 is 15367966.
2. What are the Factors of 5542?
Answer: Factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542. There are 8 integers that are factors of 5542. The greatest factor of 5542 is 5542.
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 5542 and 5546?
Answer:
Least Common Multiple of 5542 and 5546 = 15367966
Step 1: Find the prime factorization of 5542
5542 = 2 x 17 x 163
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 = 15367966 = 2 x 17 x 47 x 59 x 163
Step 4: Therefore, the least common multiple of 5542 and 5546 is 15367966.