Least Common Multiple of 5055 and 5059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5055 and 5059 the smallest integer that is 25573245 that is divisible by both numbers.

Least Common Multiple (LCM) of 5055 and 5059 is 25573245.

LCM(5055,5059) = 25573245

LCM of 5055 and 5059

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

LCM of:
and

Least Common Multiple of 5055 and 5059

LCM of 5055 and 5059 is 25573245

Least common multiple can be found by multiplying the highest exponent prime factors of 5055 and 5059. First we will calculate the prime factors of 5055 and 5059.

Prime Factorization of 5055


3 5055
5 1685
337 337
1

Prime factors of 5055 are 3, 5,337. Prime factorization of 5055 in exponential form is:

5055 = 31×51×3371

Prime Factorization of 5059


5059 5059
1

Prime factors of 5059 are 5059. Prime factorization of 5059 in exponential form is:

5059 = 50591

Now multiplying the highest exponent prime factors to calculate the LCM of 5055 and 5059.

LCM(5055,5059) = 31×51×3371×50591
LCM(5055,5059) = 25573245

Factors of 5055

List of positive integer factors of 5055 that divides 5055 without a remainder.

1, 3, 5, 15, 337, 1011, 1685, 5055

Factors of 5059

List of positive integer factors of 5059 that divides 5059 without a remainder.

1, 5059

Least Common Multiple of 5055 and 5059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5055 and 5059, than apply into the LCM equation.

GCF(5055,5059) = 1
LCM(5055,5059) = ( 5055 × 5059) / 1
LCM(5055,5059) = 25573245 / 1
LCM(5055,5059) = 25573245

Properties of LCM 5055 and 5059

(i) The LCM of 5059 and 5055 is associative

LCM of 5055 and 5059 = LCM of 5059 and 5055

Related Least Common Multiples of 5055

Related Least Common Multiples of 5059

Frequently Asked Questions on LCM of 5055 and 5059

1. What is the LCM of 5055 and 5059?

Answer: LCM of 5055 and 5059 is 25573245.

2. What are the Factors of 5055?

Answer: Factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055. There are 8 integers that are factors of 5055. The greatest factor of 5055 is 5055.

3. What are the Factors of 5059?

Answer: Factors of 5059 are 1, 5059. There are 2 integers that are factors of 5059. The greatest factor of 5059 is 5059.

4. How to Find the LCM of 5055 and 5059?

Answer:

Least Common Multiple of 5055 and 5059 = 25573245

Step 1: Find the prime factorization of 5055

5055 = 3 x 5 x 337

Step 2: Find the prime factorization of 5059

5059 = 5059

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

LCM = 25573245 = 3 x 5 x 337 x 5059

Step 4: Therefore, the least common multiple of 5055 and 5059 is 25573245.