Least Common Multiple of 2133 and 2135

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 2135 the smallest integer that is 4553955 that is divisible by both numbers.

Least Common Multiple (LCM) of 2133 and 2135 is 4553955.

LCM(2133,2135) = 4553955

LCM of 2133 and 2135

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

LCM of:
and

Least Common Multiple of 2133 and 2135

LCM of 2133 and 2135 is 4553955

Least common multiple can be found by multiplying the highest exponent prime factors of 2133 and 2135. First we will calculate the prime factors of 2133 and 2135.

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 2135


5 2135
7 427
61 61
1

Prime factors of 2135 are 5, 7,61. Prime factorization of 2135 in exponential form is:

2135 = 51×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2133 and 2135.

LCM(2133,2135) = 33×51×71×611×791
LCM(2133,2135) = 4553955

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 2135

List of positive integer factors of 2135 that divides 2135 without a remainder.

1, 5, 7, 35, 61, 305, 427, 2135

Least Common Multiple of 2133 and 2135 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 2135, than apply into the LCM equation.

GCF(2133,2135) = 1
LCM(2133,2135) = ( 2133 × 2135) / 1
LCM(2133,2135) = 4553955 / 1
LCM(2133,2135) = 4553955

Properties of LCM 2133 and 2135

(i) The LCM of 2135 and 2133 is associative

LCM of 2133 and 2135 = LCM of 2135 and 2133

Related Least Common Multiples of 2133

Related Least Common Multiples of 2135

Frequently Asked Questions on LCM of 2133 and 2135

1. What is the LCM of 2133 and 2135?

Answer: LCM of 2133 and 2135 is 4553955.

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 2135?

Answer: Factors of 2135 are 1, 5, 7, 35, 61, 305, 427, 2135. There are 8 integers that are factors of 2135. The greatest factor of 2135 is 2135.

4. How to Find the LCM of 2133 and 2135?

Answer:

Least Common Multiple of 2133 and 2135 = 4553955

Step 1: Find the prime factorization of 2133

2133 = 3 x 3 x 3 x 79

Step 2: Find the prime factorization of 2135

2135 = 5 x 7 x 61

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

LCM = 4553955 = 3 x 3 x 3 x 5 x 7 x 61 x 79

Step 4: Therefore, the least common multiple of 2133 and 2135 is 4553955.