Least Common Multiple of 2133 and 2134

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 2134 the smallest integer that is 4551822 that is divisible by both numbers.

Least Common Multiple (LCM) of 2133 and 2134 is 4551822.

LCM(2133,2134) = 4551822

LCM of 2133 and 2134

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

LCM of:
and

Least Common Multiple of 2133 and 2134

LCM of 2133 and 2134 is 4551822

Least common multiple can be found by multiplying the highest exponent prime factors of 2133 and 2134. First we will calculate the prime factors of 2133 and 2134.

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 2134


2 2134
11 1067
97 97
1

Prime factors of 2134 are 2, 11,97. Prime factorization of 2134 in exponential form is:

2134 = 21×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2133 and 2134.

LCM(2133,2134) = 21×33×111×791×971
LCM(2133,2134) = 4551822

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 2134

List of positive integer factors of 2134 that divides 2134 without a remainder.

1, 2, 11, 22, 97, 194, 1067, 2134

Least Common Multiple of 2133 and 2134 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 2134, than apply into the LCM equation.

GCF(2133,2134) = 1
LCM(2133,2134) = ( 2133 × 2134) / 1
LCM(2133,2134) = 4551822 / 1
LCM(2133,2134) = 4551822

Properties of LCM 2133 and 2134

(i) The LCM of 2134 and 2133 is associative

LCM of 2133 and 2134 = LCM of 2134 and 2133

Related Least Common Multiples of 2133

Related Least Common Multiples of 2134

Frequently Asked Questions on LCM of 2133 and 2134

1. What is the LCM of 2133 and 2134?

Answer: LCM of 2133 and 2134 is 4551822.

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 2134?

Answer: Factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134. There are 8 integers that are factors of 2134. The greatest factor of 2134 is 2134.

4. How to Find the LCM of 2133 and 2134?

Answer:

Least Common Multiple of 2133 and 2134 = 4551822

Step 1: Find the prime factorization of 2133

2133 = 3 x 3 x 3 x 79

Step 2: Find the prime factorization of 2134

2134 = 2 x 11 x 97

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

LCM = 4551822 = 2 x 3 x 3 x 3 x 11 x 79 x 97

Step 4: Therefore, the least common multiple of 2133 and 2134 is 4551822.