Least Common Multiple of 10185 and 10190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10185 and 10190 the smallest integer that is 20757030 that is divisible by both numbers.

Least Common Multiple (LCM) of 10185 and 10190 is 20757030.

LCM(10185,10190) = 20757030

LCM of 10185 and 10190

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

LCM of:
and

Least Common Multiple of 10185 and 10190

LCM of 10185 and 10190 is 20757030

Least common multiple can be found by multiplying the highest exponent prime factors of 10185 and 10190. First we will calculate the prime factors of 10185 and 10190.

Prime Factorization of 10185


3 10185
5 3395
7 679
97 97
1

Prime factors of 10185 are 3, 5, 7,97. Prime factorization of 10185 in exponential form is:

10185 = 31×51×71×971

Prime Factorization of 10190


2 10190
5 5095
1019 1019
1

Prime factors of 10190 are 2, 5,1019. Prime factorization of 10190 in exponential form is:

10190 = 21×51×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 10185 and 10190.

LCM(10185,10190) = 21×31×51×71×971×10191
LCM(10185,10190) = 20757030

Factors of 10185

List of positive integer factors of 10185 that divides 10185 without a remainder.

1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185

Factors of 10190

List of positive integer factors of 10190 that divides 10190 without a remainder.

1, 2, 5, 10, 1019, 2038, 5095, 10190

Least Common Multiple of 10185 and 10190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10185 and 10190, than apply into the LCM equation.

GCF(10185,10190) = 5
LCM(10185,10190) = ( 10185 × 10190) / 5
LCM(10185,10190) = 103785150 / 5
LCM(10185,10190) = 20757030

Properties of LCM 10185 and 10190

(i) The LCM of 10190 and 10185 is associative

LCM of 10185 and 10190 = LCM of 10190 and 10185

Related Least Common Multiples of 10185

Related Least Common Multiples of 10190

Frequently Asked Questions on LCM of 10185 and 10190

1. What is the LCM of 10185 and 10190?

Answer: LCM of 10185 and 10190 is 20757030.

2. What are the Factors of 10185?

Answer: Factors of 10185 are 1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185. There are 16 integers that are factors of 10185. The greatest factor of 10185 is 10185.

3. What are the Factors of 10190?

Answer: Factors of 10190 are 1, 2, 5, 10, 1019, 2038, 5095, 10190. There are 8 integers that are factors of 10190. The greatest factor of 10190 is 10190.

4. How to Find the LCM of 10185 and 10190?

Answer:

Least Common Multiple of 10185 and 10190 = 20757030

Step 1: Find the prime factorization of 10185

10185 = 3 x 5 x 7 x 97

Step 2: Find the prime factorization of 10190

10190 = 2 x 5 x 1019

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

LCM = 20757030 = 2 x 3 x 5 x 7 x 97 x 1019

Step 4: Therefore, the least common multiple of 10185 and 10190 is 20757030.