Least Common Multiple of 5150 and 5155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5150 and 5155 the smallest integer that is 5309650 that is divisible by both numbers.

Least Common Multiple (LCM) of 5150 and 5155 is 5309650.

LCM(5150,5155) = 5309650

LCM of 5150 and 5155

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

LCM of:
and

Least Common Multiple of 5150 and 5155

LCM of 5150 and 5155 is 5309650

Least common multiple can be found by multiplying the highest exponent prime factors of 5150 and 5155. First we will calculate the prime factors of 5150 and 5155.

Prime Factorization of 5150


2 5150
5 2575
5 515
103 103
1

Prime factors of 5150 are 2, 5,103. Prime factorization of 5150 in exponential form is:

5150 = 21×52×1031

Prime Factorization of 5155


5 5155
1031 1031
1

Prime factors of 5155 are 5,1031. Prime factorization of 5155 in exponential form is:

5155 = 51×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 5150 and 5155.

LCM(5150,5155) = 21×52×1031×10311
LCM(5150,5155) = 5309650

Factors of 5150

List of positive integer factors of 5150 that divides 5150 without a remainder.

1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150

Factors of 5155

List of positive integer factors of 5155 that divides 5155 without a remainder.

1, 5, 1031, 5155

Least Common Multiple of 5150 and 5155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5150 and 5155, than apply into the LCM equation.

GCF(5150,5155) = 5
LCM(5150,5155) = ( 5150 × 5155) / 5
LCM(5150,5155) = 26548250 / 5
LCM(5150,5155) = 5309650

Properties of LCM 5150 and 5155

(i) The LCM of 5155 and 5150 is associative

LCM of 5150 and 5155 = LCM of 5155 and 5150

Related Least Common Multiples of 5150

Related Least Common Multiples of 5155

Frequently Asked Questions on LCM of 5150 and 5155

1. What is the LCM of 5150 and 5155?

Answer: LCM of 5150 and 5155 is 5309650.

2. What are the Factors of 5150?

Answer: Factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150. There are 12 integers that are factors of 5150. The greatest factor of 5150 is 5150.

3. What are the Factors of 5155?

Answer: Factors of 5155 are 1, 5, 1031, 5155. There are 4 integers that are factors of 5155. The greatest factor of 5155 is 5155.

4. How to Find the LCM of 5150 and 5155?

Answer:

Least Common Multiple of 5150 and 5155 = 5309650

Step 1: Find the prime factorization of 5150

5150 = 2 x 5 x 5 x 103

Step 2: Find the prime factorization of 5155

5155 = 5 x 1031

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

LCM = 5309650 = 2 x 5 x 5 x 103 x 1031

Step 4: Therefore, the least common multiple of 5150 and 5155 is 5309650.