Least Common Multiple of 5555 and 5563

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 5563 the smallest integer that is 30902465 that is divisible by both numbers.

Least Common Multiple (LCM) of 5555 and 5563 is 30902465.

LCM(5555,5563) = 30902465

LCM of 5555 and 5563

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

LCM of:
and

Least Common Multiple of 5555 and 5563

LCM of 5555 and 5563 is 30902465

Least common multiple can be found by multiplying the highest exponent prime factors of 5555 and 5563. First we will calculate the prime factors of 5555 and 5563.

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 5563


5563 5563
1

Prime factors of 5563 are 5563. Prime factorization of 5563 in exponential form is:

5563 = 55631

Now multiplying the highest exponent prime factors to calculate the LCM of 5555 and 5563.

LCM(5555,5563) = 51×111×1011×55631
LCM(5555,5563) = 30902465

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 5563

List of positive integer factors of 5563 that divides 5563 without a remainder.

1, 5563

Least Common Multiple of 5555 and 5563 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 5563, than apply into the LCM equation.

GCF(5555,5563) = 1
LCM(5555,5563) = ( 5555 × 5563) / 1
LCM(5555,5563) = 30902465 / 1
LCM(5555,5563) = 30902465

Properties of LCM 5555 and 5563

(i) The LCM of 5563 and 5555 is associative

LCM of 5555 and 5563 = LCM of 5563 and 5555

Related Least Common Multiples of 5555

Related Least Common Multiples of 5563

Frequently Asked Questions on LCM of 5555 and 5563

1. What is the LCM of 5555 and 5563?

Answer: LCM of 5555 and 5563 is 30902465.

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 5563?

Answer: Factors of 5563 are 1, 5563. There are 2 integers that are factors of 5563. The greatest factor of 5563 is 5563.

4. How to Find the LCM of 5555 and 5563?

Answer:

Least Common Multiple of 5555 and 5563 = 30902465

Step 1: Find the prime factorization of 5555

5555 = 5 x 11 x 101

Step 2: Find the prime factorization of 5563

5563 = 5563

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

LCM = 30902465 = 5 x 11 x 101 x 5563

Step 4: Therefore, the least common multiple of 5555 and 5563 is 30902465.