Least Common Multiple of 4129 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 4129 and 4137 the smallest integer that is 17081673 that is divisible by both numbers.

Least Common Multiple (LCM) of 4129 and 4137 is 17081673.

LCM(4129,4137) = 17081673

LCM of 4129 and 4137

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

LCM of:
and

Least Common Multiple of 4129 and 4137

LCM of 4129 and 4137 is 17081673

Least common multiple can be found by multiplying the highest exponent prime factors of 4129 and 4137. First we will calculate the prime factors of 4129 and 4137.

Prime Factorization of 4129


4129 4129
1

Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:

4129 = 41291

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 4129 and 4137.

LCM(4129,4137) = 31×71×1971×41291
LCM(4129,4137) = 17081673

Factors of 4129

List of positive integer factors of 4129 that divides 4129 without a remainder.

1, 4129

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 4129 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 4129 and 4137, than apply into the LCM equation.

GCF(4129,4137) = 1
LCM(4129,4137) = ( 4129 × 4137) / 1
LCM(4129,4137) = 17081673 / 1
LCM(4129,4137) = 17081673

Properties of LCM 4129 and 4137

(i) The LCM of 4137 and 4129 is associative

LCM of 4129 and 4137 = LCM of 4137 and 4129

Related Least Common Multiples of 4129

Related Least Common Multiples of 4137

Frequently Asked Questions on LCM of 4129 and 4137

1. What is the LCM of 4129 and 4137?

Answer: LCM of 4129 and 4137 is 17081673.

2. What are the Factors of 4129?

Answer: Factors of 4129 are 1, 4129. There are 2 integers that are factors of 4129. The greatest factor of 4129 is 4129.

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 4129 and 4137?

Answer:

Least Common Multiple of 4129 and 4137 = 17081673

Step 1: Find the prime factorization of 4129

4129 = 4129

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 = 17081673 = 3 x 7 x 197 x 4129

Step 4: Therefore, the least common multiple of 4129 and 4137 is 17081673.