Least Common Multiple of 5044 and 5051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5044 and 5051 the smallest integer that is 25477244 that is divisible by both numbers.

Least Common Multiple (LCM) of 5044 and 5051 is 25477244.

LCM(5044,5051) = 25477244

LCM of 5044 and 5051

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

LCM of:
and

Least Common Multiple of 5044 and 5051

LCM of 5044 and 5051 is 25477244

Least common multiple can be found by multiplying the highest exponent prime factors of 5044 and 5051. First we will calculate the prime factors of 5044 and 5051.

Prime Factorization of 5044


2 5044
2 2522
13 1261
97 97
1

Prime factors of 5044 are 2, 13,97. Prime factorization of 5044 in exponential form is:

5044 = 22×131×971

Prime Factorization of 5051


5051 5051
1

Prime factors of 5051 are 5051. Prime factorization of 5051 in exponential form is:

5051 = 50511

Now multiplying the highest exponent prime factors to calculate the LCM of 5044 and 5051.

LCM(5044,5051) = 22×131×971×50511
LCM(5044,5051) = 25477244

Factors of 5044

List of positive integer factors of 5044 that divides 5044 without a remainder.

1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044

Factors of 5051

List of positive integer factors of 5051 that divides 5051 without a remainder.

1, 5051

Least Common Multiple of 5044 and 5051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5044 and 5051, than apply into the LCM equation.

GCF(5044,5051) = 1
LCM(5044,5051) = ( 5044 × 5051) / 1
LCM(5044,5051) = 25477244 / 1
LCM(5044,5051) = 25477244

Properties of LCM 5044 and 5051

(i) The LCM of 5051 and 5044 is associative

LCM of 5044 and 5051 = LCM of 5051 and 5044

Related Least Common Multiples of 5044

Related Least Common Multiples of 5051

Frequently Asked Questions on LCM of 5044 and 5051

1. What is the LCM of 5044 and 5051?

Answer: LCM of 5044 and 5051 is 25477244.

2. What are the Factors of 5044?

Answer: Factors of 5044 are 1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044. There are 12 integers that are factors of 5044. The greatest factor of 5044 is 5044.

3. What are the Factors of 5051?

Answer: Factors of 5051 are 1, 5051. There are 2 integers that are factors of 5051. The greatest factor of 5051 is 5051.

4. How to Find the LCM of 5044 and 5051?

Answer:

Least Common Multiple of 5044 and 5051 = 25477244

Step 1: Find the prime factorization of 5044

5044 = 2 x 2 x 13 x 97

Step 2: Find the prime factorization of 5051

5051 = 5051

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

LCM = 25477244 = 2 x 2 x 13 x 97 x 5051

Step 4: Therefore, the least common multiple of 5044 and 5051 is 25477244.