Least Common Multiple of 5558 and 5562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5558 and 5562 the smallest integer that is 15456798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5558 and 5562 is 15456798.

LCM(5558,5562) = 15456798

LCM of 5558 and 5562

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

LCM of:
and

Least Common Multiple of 5558 and 5562

LCM of 5558 and 5562 is 15456798

Least common multiple can be found by multiplying the highest exponent prime factors of 5558 and 5562. First we will calculate the prime factors of 5558 and 5562.

Prime Factorization of 5558


2 5558
7 2779
397 397
1

Prime factors of 5558 are 2, 7,397. Prime factorization of 5558 in exponential form is:

5558 = 21×71×3971

Prime Factorization of 5562


2 5562
3 2781
3 927
3 309
103 103
1

Prime factors of 5562 are 2, 3,103. Prime factorization of 5562 in exponential form is:

5562 = 21×33×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5558 and 5562.

LCM(5558,5562) = 21×33×71×1031×3971
LCM(5558,5562) = 15456798

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1, 2, 7, 14, 397, 794, 2779, 5558

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562

Least Common Multiple of 5558 and 5562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5558 and 5562, than apply into the LCM equation.

GCF(5558,5562) = 2
LCM(5558,5562) = ( 5558 × 5562) / 2
LCM(5558,5562) = 30913596 / 2
LCM(5558,5562) = 15456798

Properties of LCM 5558 and 5562

(i) The LCM of 5562 and 5558 is associative

LCM of 5558 and 5562 = LCM of 5562 and 5558

Related Least Common Multiples of 5558

Related Least Common Multiples of 5562

Frequently Asked Questions on LCM of 5558 and 5562

1. What is the LCM of 5558 and 5562?

Answer: LCM of 5558 and 5562 is 15456798.

2. What are the Factors of 5558?

Answer: Factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558. There are 8 integers that are factors of 5558. The greatest factor of 5558 is 5558.

3. What are the Factors of 5562?

Answer: Factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562. There are 16 integers that are factors of 5562. The greatest factor of 5562 is 5562.

4. How to Find the LCM of 5558 and 5562?

Answer:

Least Common Multiple of 5558 and 5562 = 15456798

Step 1: Find the prime factorization of 5558

5558 = 2 x 7 x 397

Step 2: Find the prime factorization of 5562

5562 = 2 x 3 x 3 x 3 x 103

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

LCM = 15456798 = 2 x 3 x 3 x 3 x 7 x 103 x 397

Step 4: Therefore, the least common multiple of 5558 and 5562 is 15456798.