Least Common Multiple of 2133 and 2137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2133 and 2137 the smallest integer that is 4558221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2133 and 2137 is 4558221.

LCM(2133,2137) = 4558221

LCM of 2133 and 2137

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

LCM of:
and

Least Common Multiple of 2133 and 2137

LCM of 2133 and 2137 is 4558221

Least common multiple can be found by multiplying the highest exponent prime factors of 2133 and 2137. First we will calculate the prime factors of 2133 and 2137.

Prime Factorization of 2133


3 2133
3 711
3 237
79 79
1

Prime factors of 2133 are 3,79. Prime factorization of 2133 in exponential form is:

2133 = 33×791

Prime Factorization of 2137


2137 2137
1

Prime factors of 2137 are 2137. Prime factorization of 2137 in exponential form is:

2137 = 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 2133 and 2137.

LCM(2133,2137) = 33×791×21371
LCM(2133,2137) = 4558221

Factors of 2133

List of positive integer factors of 2133 that divides 2133 without a remainder.

1, 3, 9, 27, 79, 237, 711, 2133

Factors of 2137

List of positive integer factors of 2137 that divides 2137 without a remainder.

1, 2137

Least Common Multiple of 2133 and 2137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2133 and 2137, than apply into the LCM equation.

GCF(2133,2137) = 1
LCM(2133,2137) = ( 2133 × 2137) / 1
LCM(2133,2137) = 4558221 / 1
LCM(2133,2137) = 4558221

Properties of LCM 2133 and 2137

(i) The LCM of 2137 and 2133 is associative

LCM of 2133 and 2137 = LCM of 2137 and 2133

Related Least Common Multiples of 2133

Related Least Common Multiples of 2137

Frequently Asked Questions on LCM of 2133 and 2137

1. What is the LCM of 2133 and 2137?

Answer: LCM of 2133 and 2137 is 4558221.

2. What are the Factors of 2133?

Answer: Factors of 2133 are 1, 3, 9, 27, 79, 237, 711, 2133. There are 8 integers that are factors of 2133. The greatest factor of 2133 is 2133.

3. What are the Factors of 2137?

Answer: Factors of 2137 are 1, 2137. There are 2 integers that are factors of 2137. The greatest factor of 2137 is 2137.

4. How to Find the LCM of 2133 and 2137?

Answer:

Least Common Multiple of 2133 and 2137 = 4558221

Step 1: Find the prime factorization of 2133

2133 = 3 x 3 x 3 x 79

Step 2: Find the prime factorization of 2137

2137 = 2137

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

LCM = 4558221 = 3 x 3 x 3 x 79 x 2137

Step 4: Therefore, the least common multiple of 2133 and 2137 is 4558221.