Least Common Multiple of 2145 and 2153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2145 and 2153 the smallest integer that is 4618185 that is divisible by both numbers.

Least Common Multiple (LCM) of 2145 and 2153 is 4618185.

LCM(2145,2153) = 4618185

LCM of 2145 and 2153

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

LCM of:
and

Least Common Multiple of 2145 and 2153

LCM of 2145 and 2153 is 4618185

Least common multiple can be found by multiplying the highest exponent prime factors of 2145 and 2153. First we will calculate the prime factors of 2145 and 2153.

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

Prime Factorization of 2153


2153 2153
1

Prime factors of 2153 are 2153. Prime factorization of 2153 in exponential form is:

2153 = 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 2145 and 2153.

LCM(2145,2153) = 31×51×111×131×21531
LCM(2145,2153) = 4618185

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

Factors of 2153

List of positive integer factors of 2153 that divides 2153 without a remainder.

1, 2153

Least Common Multiple of 2145 and 2153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2145 and 2153, than apply into the LCM equation.

GCF(2145,2153) = 1
LCM(2145,2153) = ( 2145 × 2153) / 1
LCM(2145,2153) = 4618185 / 1
LCM(2145,2153) = 4618185

Properties of LCM 2145 and 2153

(i) The LCM of 2153 and 2145 is associative

LCM of 2145 and 2153 = LCM of 2153 and 2145

Related Least Common Multiples of 2145

Related Least Common Multiples of 2153

Frequently Asked Questions on LCM of 2145 and 2153

1. What is the LCM of 2145 and 2153?

Answer: LCM of 2145 and 2153 is 4618185.

2. 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.

3. What are the Factors of 2153?

Answer: Factors of 2153 are 1, 2153. There are 2 integers that are factors of 2153. The greatest factor of 2153 is 2153.

4. How to Find the LCM of 2145 and 2153?

Answer:

Least Common Multiple of 2145 and 2153 = 4618185

Step 1: Find the prime factorization of 2145

2145 = 3 x 5 x 11 x 13

Step 2: Find the prime factorization of 2153

2153 = 2153

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

LCM = 4618185 = 3 x 5 x 11 x 13 x 2153

Step 4: Therefore, the least common multiple of 2145 and 2153 is 4618185.