Least Common Multiple of 2137 and 2145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2137 and 2145 the smallest integer that is 4583865 that is divisible by both numbers.

Least Common Multiple (LCM) of 2137 and 2145 is 4583865.

LCM(2137,2145) = 4583865

LCM of 2137 and 2145

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

LCM of:
and

Least Common Multiple of 2137 and 2145

LCM of 2137 and 2145 is 4583865

Least common multiple can be found by multiplying the highest exponent prime factors of 2137 and 2145. First we will calculate the prime factors of 2137 and 2145.

Prime Factorization of 2137


2137 2137
1

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

2137 = 21371

Prime Factorization of 2145


3 2145
5 715
11 143
13 13
1

Prime factors of 2145 are 3, 5, 11,13. Prime factorization of 2145 in exponential form is:

2145 = 31×51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2137 and 2145.

LCM(2137,2145) = 31×51×111×131×21371
LCM(2137,2145) = 4583865

Factors of 2137

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

1, 2137

Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

Least Common Multiple of 2137 and 2145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2137 and 2145, than apply into the LCM equation.

GCF(2137,2145) = 1
LCM(2137,2145) = ( 2137 × 2145) / 1
LCM(2137,2145) = 4583865 / 1
LCM(2137,2145) = 4583865

Properties of LCM 2137 and 2145

(i) The LCM of 2145 and 2137 is associative

LCM of 2137 and 2145 = LCM of 2145 and 2137

Related Least Common Multiples of 2137

Related Least Common Multiples of 2145

Frequently Asked Questions on LCM of 2137 and 2145

1. What is the LCM of 2137 and 2145?

Answer: LCM of 2137 and 2145 is 4583865.

2. 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.

3. What are the Factors of 2145?

Answer: Factors of 2145 are 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145. There are 16 integers that are factors of 2145. The greatest factor of 2145 is 2145.

4. How to Find the LCM of 2137 and 2145?

Answer:

Least Common Multiple of 2137 and 2145 = 4583865

Step 1: Find the prime factorization of 2137

2137 = 2137

Step 2: Find the prime factorization of 2145

2145 = 3 x 5 x 11 x 13

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

LCM = 4583865 = 3 x 5 x 11 x 13 x 2137

Step 4: Therefore, the least common multiple of 2137 and 2145 is 4583865.