Least Common Multiple of 5156 and 5164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5156 and 5164 the smallest integer that is 6656396 that is divisible by both numbers.

Least Common Multiple (LCM) of 5156 and 5164 is 6656396.

LCM(5156,5164) = 6656396

LCM of 5156 and 5164

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

LCM of:
and

Least Common Multiple of 5156 and 5164

LCM of 5156 and 5164 is 6656396

Least common multiple can be found by multiplying the highest exponent prime factors of 5156 and 5164. First we will calculate the prime factors of 5156 and 5164.

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

Prime Factorization of 5164


2 5164
2 2582
1291 1291
1

Prime factors of 5164 are 2,1291. Prime factorization of 5164 in exponential form is:

5164 = 22×12911

Now multiplying the highest exponent prime factors to calculate the LCM of 5156 and 5164.

LCM(5156,5164) = 22×12891×12911
LCM(5156,5164) = 6656396

Factors of 5156

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

1, 2, 4, 1289, 2578, 5156

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1, 2, 4, 1291, 2582, 5164

Least Common Multiple of 5156 and 5164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5156 and 5164, than apply into the LCM equation.

GCF(5156,5164) = 4
LCM(5156,5164) = ( 5156 × 5164) / 4
LCM(5156,5164) = 26625584 / 4
LCM(5156,5164) = 6656396

Properties of LCM 5156 and 5164

(i) The LCM of 5164 and 5156 is associative

LCM of 5156 and 5164 = LCM of 5164 and 5156

Related Least Common Multiples of 5156

Related Least Common Multiples of 5164

Frequently Asked Questions on LCM of 5156 and 5164

1. What is the LCM of 5156 and 5164?

Answer: LCM of 5156 and 5164 is 6656396.

2. 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.

3. What are the Factors of 5164?

Answer: Factors of 5164 are 1, 2, 4, 1291, 2582, 5164. There are 6 integers that are factors of 5164. The greatest factor of 5164 is 5164.

4. How to Find the LCM of 5156 and 5164?

Answer:

Least Common Multiple of 5156 and 5164 = 6656396

Step 1: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

Step 2: Find the prime factorization of 5164

5164 = 2 x 2 x 1291

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

LCM = 6656396 = 2 x 2 x 1289 x 1291

Step 4: Therefore, the least common multiple of 5156 and 5164 is 6656396.