Least Common Multiple of 5555 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 5555 and 5562 the smallest integer that is 30896910 that is divisible by both numbers.

Least Common Multiple (LCM) of 5555 and 5562 is 30896910.

LCM(5555,5562) = 30896910

LCM of 5555 and 5562

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

LCM of:
and

Least Common Multiple of 5555 and 5562

LCM of 5555 and 5562 is 30896910

Least common multiple can be found by multiplying the highest exponent prime factors of 5555 and 5562. First we will calculate the prime factors of 5555 and 5562.

Prime Factorization of 5555


5 5555
11 1111
101 101
1

Prime factors of 5555 are 5, 11,101. Prime factorization of 5555 in exponential form is:

5555 = 51×111×1011

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 5555 and 5562.

LCM(5555,5562) = 21×33×51×111×1011×1031
LCM(5555,5562) = 30896910

Factors of 5555

List of positive integer factors of 5555 that divides 5555 without a remainder.

1, 5, 11, 55, 101, 505, 1111, 5555

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 5555 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 5555 and 5562, than apply into the LCM equation.

GCF(5555,5562) = 1
LCM(5555,5562) = ( 5555 × 5562) / 1
LCM(5555,5562) = 30896910 / 1
LCM(5555,5562) = 30896910

Properties of LCM 5555 and 5562

(i) The LCM of 5562 and 5555 is associative

LCM of 5555 and 5562 = LCM of 5562 and 5555

Related Least Common Multiples of 5555

Related Least Common Multiples of 5562

Frequently Asked Questions on LCM of 5555 and 5562

1. What is the LCM of 5555 and 5562?

Answer: LCM of 5555 and 5562 is 30896910.

2. What are the Factors of 5555?

Answer: Factors of 5555 are 1, 5, 11, 55, 101, 505, 1111, 5555. There are 8 integers that are factors of 5555. The greatest factor of 5555 is 5555.

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 5555 and 5562?

Answer:

Least Common Multiple of 5555 and 5562 = 30896910

Step 1: Find the prime factorization of 5555

5555 = 5 x 11 x 101

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 = 30896910 = 2 x 3 x 3 x 3 x 5 x 11 x 101 x 103

Step 4: Therefore, the least common multiple of 5555 and 5562 is 30896910.