Least Common Multiple of 5149 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 5149 and 5155 the smallest integer that is 26543095 that is divisible by both numbers.

Least Common Multiple (LCM) of 5149 and 5155 is 26543095.

LCM(5149,5155) = 26543095

LCM of 5149 and 5155

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

LCM of:
and

Least Common Multiple of 5149 and 5155

LCM of 5149 and 5155 is 26543095

Least common multiple can be found by multiplying the highest exponent prime factors of 5149 and 5155. First we will calculate the prime factors of 5149 and 5155.

Prime Factorization of 5149


19 5149
271 271
1

Prime factors of 5149 are 19,271. Prime factorization of 5149 in exponential form is:

5149 = 191×2711

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 5149 and 5155.

LCM(5149,5155) = 51×191×2711×10311
LCM(5149,5155) = 26543095

Factors of 5149

List of positive integer factors of 5149 that divides 5149 without a remainder.

1, 19, 271, 5149

Factors of 5155

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

1, 5, 1031, 5155

Least Common Multiple of 5149 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 5149 and 5155, than apply into the LCM equation.

GCF(5149,5155) = 1
LCM(5149,5155) = ( 5149 × 5155) / 1
LCM(5149,5155) = 26543095 / 1
LCM(5149,5155) = 26543095

Properties of LCM 5149 and 5155

(i) The LCM of 5155 and 5149 is associative

LCM of 5149 and 5155 = LCM of 5155 and 5149

Related Least Common Multiples of 5149

Related Least Common Multiples of 5155

Frequently Asked Questions on LCM of 5149 and 5155

1. What is the LCM of 5149 and 5155?

Answer: LCM of 5149 and 5155 is 26543095.

2. What are the Factors of 5149?

Answer: Factors of 5149 are 1, 19, 271, 5149. There are 4 integers that are factors of 5149. The greatest factor of 5149 is 5149.

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 5149 and 5155?

Answer:

Least Common Multiple of 5149 and 5155 = 26543095

Step 1: Find the prime factorization of 5149

5149 = 19 x 271

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 = 26543095 = 5 x 19 x 271 x 1031

Step 4: Therefore, the least common multiple of 5149 and 5155 is 26543095.