Least Common Multiple of 4131 and 4137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4131 and 4137 the smallest integer that is 5696649 that is divisible by both numbers.

Least Common Multiple (LCM) of 4131 and 4137 is 5696649.

LCM(4131,4137) = 5696649

LCM of 4131 and 4137

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

LCM of:
and

Least Common Multiple of 4131 and 4137

LCM of 4131 and 4137 is 5696649

Least common multiple can be found by multiplying the highest exponent prime factors of 4131 and 4137. First we will calculate the prime factors of 4131 and 4137.

Prime Factorization of 4131


3 4131
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 4131 are 3,17. Prime factorization of 4131 in exponential form is:

4131 = 35×171

Prime Factorization of 4137


3 4137
7 1379
197 197
1

Prime factors of 4137 are 3, 7,197. Prime factorization of 4137 in exponential form is:

4137 = 31×71×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 4131 and 4137.

LCM(4131,4137) = 35×71×171×1971
LCM(4131,4137) = 5696649

Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131

Factors of 4137

List of positive integer factors of 4137 that divides 4137 without a remainder.

1, 3, 7, 21, 197, 591, 1379, 4137

Least Common Multiple of 4131 and 4137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4131 and 4137, than apply into the LCM equation.

GCF(4131,4137) = 3
LCM(4131,4137) = ( 4131 × 4137) / 3
LCM(4131,4137) = 17089947 / 3
LCM(4131,4137) = 5696649

Properties of LCM 4131 and 4137

(i) The LCM of 4137 and 4131 is associative

LCM of 4131 and 4137 = LCM of 4137 and 4131

Related Least Common Multiples of 4131

Related Least Common Multiples of 4137

Frequently Asked Questions on LCM of 4131 and 4137

1. What is the LCM of 4131 and 4137?

Answer: LCM of 4131 and 4137 is 5696649.

2. What are the Factors of 4131?

Answer: Factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131. There are 12 integers that are factors of 4131. The greatest factor of 4131 is 4131.

3. What are the Factors of 4137?

Answer: Factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137. There are 8 integers that are factors of 4137. The greatest factor of 4137 is 4137.

4. How to Find the LCM of 4131 and 4137?

Answer:

Least Common Multiple of 4131 and 4137 = 5696649

Step 1: Find the prime factorization of 4131

4131 = 3 x 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 4137

4137 = 3 x 7 x 197

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

LCM = 5696649 = 3 x 3 x 3 x 3 x 3 x 7 x 17 x 197

Step 4: Therefore, the least common multiple of 4131 and 4137 is 5696649.