Least Common Multiple of 5143 and 5148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5143 and 5148 the smallest integer that is 26476164 that is divisible by both numbers.

Least Common Multiple (LCM) of 5143 and 5148 is 26476164.

LCM(5143,5148) = 26476164

LCM of 5143 and 5148

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

LCM of:
and

Least Common Multiple of 5143 and 5148

LCM of 5143 and 5148 is 26476164

Least common multiple can be found by multiplying the highest exponent prime factors of 5143 and 5148. First we will calculate the prime factors of 5143 and 5148.

Prime Factorization of 5143


37 5143
139 139
1

Prime factors of 5143 are 37,139. Prime factorization of 5143 in exponential form is:

5143 = 371×1391

Prime Factorization of 5148


2 5148
2 2574
3 1287
3 429
11 143
13 13
1

Prime factors of 5148 are 2, 3, 11,13. Prime factorization of 5148 in exponential form is:

5148 = 22×32×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5143 and 5148.

LCM(5143,5148) = 22×32×111×131×371×1391
LCM(5143,5148) = 26476164

Factors of 5143

List of positive integer factors of 5143 that divides 5143 without a remainder.

1, 37, 139, 5143

Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148

Least Common Multiple of 5143 and 5148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5143 and 5148, than apply into the LCM equation.

GCF(5143,5148) = 1
LCM(5143,5148) = ( 5143 × 5148) / 1
LCM(5143,5148) = 26476164 / 1
LCM(5143,5148) = 26476164

Properties of LCM 5143 and 5148

(i) The LCM of 5148 and 5143 is associative

LCM of 5143 and 5148 = LCM of 5148 and 5143

Related Least Common Multiples of 5143

Related Least Common Multiples of 5148

Frequently Asked Questions on LCM of 5143 and 5148

1. What is the LCM of 5143 and 5148?

Answer: LCM of 5143 and 5148 is 26476164.

2. What are the Factors of 5143?

Answer: Factors of 5143 are 1, 37, 139, 5143. There are 4 integers that are factors of 5143. The greatest factor of 5143 is 5143.

3. What are the Factors of 5148?

Answer: Factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148. There are 36 integers that are factors of 5148. The greatest factor of 5148 is 5148.

4. How to Find the LCM of 5143 and 5148?

Answer:

Least Common Multiple of 5143 and 5148 = 26476164

Step 1: Find the prime factorization of 5143

5143 = 37 x 139

Step 2: Find the prime factorization of 5148

5148 = 2 x 2 x 3 x 3 x 11 x 13

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

LCM = 26476164 = 2 x 2 x 3 x 3 x 11 x 13 x 37 x 139

Step 4: Therefore, the least common multiple of 5143 and 5148 is 26476164.