Least Common Multiple of 4133 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 4133 and 4137 the smallest integer that is 17098221 that is divisible by both numbers.

Least Common Multiple (LCM) of 4133 and 4137 is 17098221.

LCM(4133,4137) = 17098221

LCM of 4133 and 4137

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

LCM of:
and

Least Common Multiple of 4133 and 4137

LCM of 4133 and 4137 is 17098221

Least common multiple can be found by multiplying the highest exponent prime factors of 4133 and 4137. First we will calculate the prime factors of 4133 and 4137.

Prime Factorization of 4133


4133 4133
1

Prime factors of 4133 are 4133. Prime factorization of 4133 in exponential form is:

4133 = 41331

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 4133 and 4137.

LCM(4133,4137) = 31×71×1971×41331
LCM(4133,4137) = 17098221

Factors of 4133

List of positive integer factors of 4133 that divides 4133 without a remainder.

1, 4133

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 4133 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 4133 and 4137, than apply into the LCM equation.

GCF(4133,4137) = 1
LCM(4133,4137) = ( 4133 × 4137) / 1
LCM(4133,4137) = 17098221 / 1
LCM(4133,4137) = 17098221

Properties of LCM 4133 and 4137

(i) The LCM of 4137 and 4133 is associative

LCM of 4133 and 4137 = LCM of 4137 and 4133

Related Least Common Multiples of 4133

Related Least Common Multiples of 4137

Frequently Asked Questions on LCM of 4133 and 4137

1. What is the LCM of 4133 and 4137?

Answer: LCM of 4133 and 4137 is 17098221.

2. What are the Factors of 4133?

Answer: Factors of 4133 are 1, 4133. There are 2 integers that are factors of 4133. The greatest factor of 4133 is 4133.

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 4133 and 4137?

Answer:

Least Common Multiple of 4133 and 4137 = 17098221

Step 1: Find the prime factorization of 4133

4133 = 4133

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 = 17098221 = 3 x 7 x 197 x 4133

Step 4: Therefore, the least common multiple of 4133 and 4137 is 17098221.