Least Common Multiple of 5152 and 5156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5152 and 5156 the smallest integer that is 6640928 that is divisible by both numbers.

Least Common Multiple (LCM) of 5152 and 5156 is 6640928.

LCM(5152,5156) = 6640928

LCM of 5152 and 5156

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

LCM of:
and

Least Common Multiple of 5152 and 5156

LCM of 5152 and 5156 is 6640928

Least common multiple can be found by multiplying the highest exponent prime factors of 5152 and 5156. First we will calculate the prime factors of 5152 and 5156.

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

Prime Factorization of 5156


2 5156
2 2578
1289 1289
1

Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:

5156 = 22×12891

Now multiplying the highest exponent prime factors to calculate the LCM of 5152 and 5156.

LCM(5152,5156) = 25×71×231×12891
LCM(5152,5156) = 6640928

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

Factors of 5156

List of positive integer factors of 5156 that divides 5156 without a remainder.

1, 2, 4, 1289, 2578, 5156

Least Common Multiple of 5152 and 5156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5152 and 5156, than apply into the LCM equation.

GCF(5152,5156) = 4
LCM(5152,5156) = ( 5152 × 5156) / 4
LCM(5152,5156) = 26563712 / 4
LCM(5152,5156) = 6640928

Properties of LCM 5152 and 5156

(i) The LCM of 5156 and 5152 is associative

LCM of 5152 and 5156 = LCM of 5156 and 5152

Related Least Common Multiples of 5152

Related Least Common Multiples of 5156

Frequently Asked Questions on LCM of 5152 and 5156

1. What is the LCM of 5152 and 5156?

Answer: LCM of 5152 and 5156 is 6640928.

2. 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.

3. What are the Factors of 5156?

Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.

4. How to Find the LCM of 5152 and 5156?

Answer:

Least Common Multiple of 5152 and 5156 = 6640928

Step 1: Find the prime factorization of 5152

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

Step 2: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

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

LCM = 6640928 = 2 x 2 x 2 x 2 x 2 x 7 x 23 x 1289

Step 4: Therefore, the least common multiple of 5152 and 5156 is 6640928.