Least Common Multiple of 10138 and 10145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10138 and 10145 the smallest integer that is 102850010 that is divisible by both numbers.

Least Common Multiple (LCM) of 10138 and 10145 is 102850010.

LCM(10138,10145) = 102850010

LCM of 10138 and 10145

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

LCM of:
and

Least Common Multiple of 10138 and 10145

LCM of 10138 and 10145 is 102850010

Least common multiple can be found by multiplying the highest exponent prime factors of 10138 and 10145. First we will calculate the prime factors of 10138 and 10145.

Prime Factorization of 10138


2 10138
37 5069
137 137
1

Prime factors of 10138 are 2, 37,137. Prime factorization of 10138 in exponential form is:

10138 = 21×371×1371

Prime Factorization of 10145


5 10145
2029 2029
1

Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:

10145 = 51×20291

Now multiplying the highest exponent prime factors to calculate the LCM of 10138 and 10145.

LCM(10138,10145) = 21×51×371×1371×20291
LCM(10138,10145) = 102850010

Factors of 10138

List of positive integer factors of 10138 that divides 10138 without a remainder.

1, 2, 37, 74, 137, 274, 5069, 10138

Factors of 10145

List of positive integer factors of 10145 that divides 10145 without a remainder.

1, 5, 2029, 10145

Least Common Multiple of 10138 and 10145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10138 and 10145, than apply into the LCM equation.

GCF(10138,10145) = 1
LCM(10138,10145) = ( 10138 × 10145) / 1
LCM(10138,10145) = 102850010 / 1
LCM(10138,10145) = 102850010

Properties of LCM 10138 and 10145

(i) The LCM of 10145 and 10138 is associative

LCM of 10138 and 10145 = LCM of 10145 and 10138

Related Least Common Multiples of 10138

Related Least Common Multiples of 10145

Frequently Asked Questions on LCM of 10138 and 10145

1. What is the LCM of 10138 and 10145?

Answer: LCM of 10138 and 10145 is 102850010.

2. What are the Factors of 10138?

Answer: Factors of 10138 are 1, 2, 37, 74, 137, 274, 5069, 10138. There are 8 integers that are factors of 10138. The greatest factor of 10138 is 10138.

3. What are the Factors of 10145?

Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.

4. How to Find the LCM of 10138 and 10145?

Answer:

Least Common Multiple of 10138 and 10145 = 102850010

Step 1: Find the prime factorization of 10138

10138 = 2 x 37 x 137

Step 2: Find the prime factorization of 10145

10145 = 5 x 2029

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

LCM = 102850010 = 2 x 5 x 37 x 137 x 2029

Step 4: Therefore, the least common multiple of 10138 and 10145 is 102850010.