Least Common Multiple of 7145 and 7153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7145 and 7153 the smallest integer that is 51108185 that is divisible by both numbers.

Least Common Multiple (LCM) of 7145 and 7153 is 51108185.

LCM(7145,7153) = 51108185

LCM of 7145 and 7153

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

LCM of:
and

Least Common Multiple of 7145 and 7153

LCM of 7145 and 7153 is 51108185

Least common multiple can be found by multiplying the highest exponent prime factors of 7145 and 7153. First we will calculate the prime factors of 7145 and 7153.

Prime Factorization of 7145


5 7145
1429 1429
1

Prime factors of 7145 are 5,1429. Prime factorization of 7145 in exponential form is:

7145 = 51×14291

Prime Factorization of 7153


23 7153
311 311
1

Prime factors of 7153 are 23,311. Prime factorization of 7153 in exponential form is:

7153 = 231×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 7145 and 7153.

LCM(7145,7153) = 51×231×3111×14291
LCM(7145,7153) = 51108185

Factors of 7145

List of positive integer factors of 7145 that divides 7145 without a remainder.

1, 5, 1429, 7145

Factors of 7153

List of positive integer factors of 7153 that divides 7153 without a remainder.

1, 23, 311, 7153

Least Common Multiple of 7145 and 7153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7145 and 7153, than apply into the LCM equation.

GCF(7145,7153) = 1
LCM(7145,7153) = ( 7145 × 7153) / 1
LCM(7145,7153) = 51108185 / 1
LCM(7145,7153) = 51108185

Properties of LCM 7145 and 7153

(i) The LCM of 7153 and 7145 is associative

LCM of 7145 and 7153 = LCM of 7153 and 7145

Related Least Common Multiples of 7145

Related Least Common Multiples of 7153

Frequently Asked Questions on LCM of 7145 and 7153

1. What is the LCM of 7145 and 7153?

Answer: LCM of 7145 and 7153 is 51108185.

2. What are the Factors of 7145?

Answer: Factors of 7145 are 1, 5, 1429, 7145. There are 4 integers that are factors of 7145. The greatest factor of 7145 is 7145.

3. What are the Factors of 7153?

Answer: Factors of 7153 are 1, 23, 311, 7153. There are 4 integers that are factors of 7153. The greatest factor of 7153 is 7153.

4. How to Find the LCM of 7145 and 7153?

Answer:

Least Common Multiple of 7145 and 7153 = 51108185

Step 1: Find the prime factorization of 7145

7145 = 5 x 1429

Step 2: Find the prime factorization of 7153

7153 = 23 x 311

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

LCM = 51108185 = 5 x 23 x 311 x 1429

Step 4: Therefore, the least common multiple of 7145 and 7153 is 51108185.