Least Common Multiple of 5141 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 5141 and 5148 the smallest integer that is 26465868 that is divisible by both numbers.

Least Common Multiple (LCM) of 5141 and 5148 is 26465868.

LCM(5141,5148) = 26465868

LCM of 5141 and 5148

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

LCM of:
and

Least Common Multiple of 5141 and 5148

LCM of 5141 and 5148 is 26465868

Least common multiple can be found by multiplying the highest exponent prime factors of 5141 and 5148. First we will calculate the prime factors of 5141 and 5148.

Prime Factorization of 5141


53 5141
97 97
1

Prime factors of 5141 are 53,97. Prime factorization of 5141 in exponential form is:

5141 = 531×971

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 5141 and 5148.

LCM(5141,5148) = 22×32×111×131×531×971
LCM(5141,5148) = 26465868

Factors of 5141

List of positive integer factors of 5141 that divides 5141 without a remainder.

1, 53, 97, 5141

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 5141 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 5141 and 5148, than apply into the LCM equation.

GCF(5141,5148) = 1
LCM(5141,5148) = ( 5141 × 5148) / 1
LCM(5141,5148) = 26465868 / 1
LCM(5141,5148) = 26465868

Properties of LCM 5141 and 5148

(i) The LCM of 5148 and 5141 is associative

LCM of 5141 and 5148 = LCM of 5148 and 5141

Related Least Common Multiples of 5141

Related Least Common Multiples of 5148

Frequently Asked Questions on LCM of 5141 and 5148

1. What is the LCM of 5141 and 5148?

Answer: LCM of 5141 and 5148 is 26465868.

2. What are the Factors of 5141?

Answer: Factors of 5141 are 1, 53, 97, 5141. There are 4 integers that are factors of 5141. The greatest factor of 5141 is 5141.

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 5141 and 5148?

Answer:

Least Common Multiple of 5141 and 5148 = 26465868

Step 1: Find the prime factorization of 5141

5141 = 53 x 97

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 = 26465868 = 2 x 2 x 3 x 3 x 11 x 13 x 53 x 97

Step 4: Therefore, the least common multiple of 5141 and 5148 is 26465868.