Least Common Multiple of 7185 and 7190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7185 and 7190 the smallest integer that is 10332030 that is divisible by both numbers.

Least Common Multiple (LCM) of 7185 and 7190 is 10332030.

LCM(7185,7190) = 10332030

LCM of 7185 and 7190

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

LCM of:
and

Least Common Multiple of 7185 and 7190

LCM of 7185 and 7190 is 10332030

Least common multiple can be found by multiplying the highest exponent prime factors of 7185 and 7190. First we will calculate the prime factors of 7185 and 7190.

Prime Factorization of 7185


3 7185
5 2395
479 479
1

Prime factors of 7185 are 3, 5,479. Prime factorization of 7185 in exponential form is:

7185 = 31×51×4791

Prime Factorization of 7190


2 7190
5 3595
719 719
1

Prime factors of 7190 are 2, 5,719. Prime factorization of 7190 in exponential form is:

7190 = 21×51×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 7185 and 7190.

LCM(7185,7190) = 21×31×51×4791×7191
LCM(7185,7190) = 10332030

Factors of 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1, 3, 5, 15, 479, 1437, 2395, 7185

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1, 2, 5, 10, 719, 1438, 3595, 7190

Least Common Multiple of 7185 and 7190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7185 and 7190, than apply into the LCM equation.

GCF(7185,7190) = 5
LCM(7185,7190) = ( 7185 × 7190) / 5
LCM(7185,7190) = 51660150 / 5
LCM(7185,7190) = 10332030

Properties of LCM 7185 and 7190

(i) The LCM of 7190 and 7185 is associative

LCM of 7185 and 7190 = LCM of 7190 and 7185

Related Least Common Multiples of 7185

Related Least Common Multiples of 7190

Frequently Asked Questions on LCM of 7185 and 7190

1. What is the LCM of 7185 and 7190?

Answer: LCM of 7185 and 7190 is 10332030.

2. What are the Factors of 7185?

Answer: Factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185. There are 8 integers that are factors of 7185. The greatest factor of 7185 is 7185.

3. What are the Factors of 7190?

Answer: Factors of 7190 are 1, 2, 5, 10, 719, 1438, 3595, 7190. There are 8 integers that are factors of 7190. The greatest factor of 7190 is 7190.

4. How to Find the LCM of 7185 and 7190?

Answer:

Least Common Multiple of 7185 and 7190 = 10332030

Step 1: Find the prime factorization of 7185

7185 = 3 x 5 x 479

Step 2: Find the prime factorization of 7190

7190 = 2 x 5 x 719

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

LCM = 10332030 = 2 x 3 x 5 x 479 x 719

Step 4: Therefore, the least common multiple of 7185 and 7190 is 10332030.