Least Common Multiple of 10134 and 10139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10134 and 10139 the smallest integer that is 102748626 that is divisible by both numbers.

Least Common Multiple (LCM) of 10134 and 10139 is 102748626.

LCM(10134,10139) = 102748626

LCM of 10134 and 10139

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

LCM of:
and

Least Common Multiple of 10134 and 10139

LCM of 10134 and 10139 is 102748626

Least common multiple can be found by multiplying the highest exponent prime factors of 10134 and 10139. First we will calculate the prime factors of 10134 and 10139.

Prime Factorization of 10134


2 10134
3 5067
3 1689
563 563
1

Prime factors of 10134 are 2, 3,563. Prime factorization of 10134 in exponential form is:

10134 = 21×32×5631

Prime Factorization of 10139


10139 10139
1

Prime factors of 10139 are 10139. Prime factorization of 10139 in exponential form is:

10139 = 101391

Now multiplying the highest exponent prime factors to calculate the LCM of 10134 and 10139.

LCM(10134,10139) = 21×32×5631×101391
LCM(10134,10139) = 102748626

Factors of 10134

List of positive integer factors of 10134 that divides 10134 without a remainder.

1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134

Factors of 10139

List of positive integer factors of 10139 that divides 10139 without a remainder.

1, 10139

Least Common Multiple of 10134 and 10139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10134 and 10139, than apply into the LCM equation.

GCF(10134,10139) = 1
LCM(10134,10139) = ( 10134 × 10139) / 1
LCM(10134,10139) = 102748626 / 1
LCM(10134,10139) = 102748626

Properties of LCM 10134 and 10139

(i) The LCM of 10139 and 10134 is associative

LCM of 10134 and 10139 = LCM of 10139 and 10134

Related Least Common Multiples of 10134

Related Least Common Multiples of 10139

Frequently Asked Questions on LCM of 10134 and 10139

1. What is the LCM of 10134 and 10139?

Answer: LCM of 10134 and 10139 is 102748626.

2. What are the Factors of 10134?

Answer: Factors of 10134 are 1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134. There are 12 integers that are factors of 10134. The greatest factor of 10134 is 10134.

3. What are the Factors of 10139?

Answer: Factors of 10139 are 1, 10139. There are 2 integers that are factors of 10139. The greatest factor of 10139 is 10139.

4. How to Find the LCM of 10134 and 10139?

Answer:

Least Common Multiple of 10134 and 10139 = 102748626

Step 1: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

Step 2: Find the prime factorization of 10139

10139 = 10139

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

LCM = 102748626 = 2 x 3 x 3 x 563 x 10139

Step 4: Therefore, the least common multiple of 10134 and 10139 is 102748626.