Least Common Multiple of 5144 and 5152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5144 and 5152 the smallest integer that is 3312736 that is divisible by both numbers.

Least Common Multiple (LCM) of 5144 and 5152 is 3312736.

LCM(5144,5152) = 3312736

LCM of 5144 and 5152

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

LCM of:
and

Least Common Multiple of 5144 and 5152

LCM of 5144 and 5152 is 3312736

Least common multiple can be found by multiplying the highest exponent prime factors of 5144 and 5152. First we will calculate the prime factors of 5144 and 5152.

Prime Factorization of 5144


2 5144
2 2572
2 1286
643 643
1

Prime factors of 5144 are 2,643. Prime factorization of 5144 in exponential form is:

5144 = 23×6431

Prime Factorization of 5152


2 5152
2 2576
2 1288
2 644
2 322
7 161
23 23
1

Prime factors of 5152 are 2, 7,23. Prime factorization of 5152 in exponential form is:

5152 = 25×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5144 and 5152.

LCM(5144,5152) = 25×71×231×6431
LCM(5144,5152) = 3312736

Factors of 5144

List of positive integer factors of 5144 that divides 5144 without a remainder.

1, 2, 4, 8, 643, 1286, 2572, 5144

Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152

Least Common Multiple of 5144 and 5152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5144 and 5152, than apply into the LCM equation.

GCF(5144,5152) = 8
LCM(5144,5152) = ( 5144 × 5152) / 8
LCM(5144,5152) = 26501888 / 8
LCM(5144,5152) = 3312736

Properties of LCM 5144 and 5152

(i) The LCM of 5152 and 5144 is associative

LCM of 5144 and 5152 = LCM of 5152 and 5144

Related Least Common Multiples of 5144

Related Least Common Multiples of 5152

Frequently Asked Questions on LCM of 5144 and 5152

1. What is the LCM of 5144 and 5152?

Answer: LCM of 5144 and 5152 is 3312736.

2. What are the Factors of 5144?

Answer: Factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144. There are 8 integers that are factors of 5144. The greatest factor of 5144 is 5144.

3. What are the Factors of 5152?

Answer: Factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152. There are 24 integers that are factors of 5152. The greatest factor of 5152 is 5152.

4. How to Find the LCM of 5144 and 5152?

Answer:

Least Common Multiple of 5144 and 5152 = 3312736

Step 1: Find the prime factorization of 5144

5144 = 2 x 2 x 2 x 643

Step 2: Find the prime factorization of 5152

5152 = 2 x 2 x 2 x 2 x 2 x 7 x 23

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

LCM = 3312736 = 2 x 2 x 2 x 2 x 2 x 7 x 23 x 643

Step 4: Therefore, the least common multiple of 5144 and 5152 is 3312736.