Least Common Multiple of 10134 and 10136

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 10136 the smallest integer that is 51359112 that is divisible by both numbers.

Least Common Multiple (LCM) of 10134 and 10136 is 51359112.

LCM(10134,10136) = 51359112

LCM of 10134 and 10136

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

LCM of:
and

Least Common Multiple of 10134 and 10136

LCM of 10134 and 10136 is 51359112

Least common multiple can be found by multiplying the highest exponent prime factors of 10134 and 10136. First we will calculate the prime factors of 10134 and 10136.

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 10136


2 10136
2 5068
2 2534
7 1267
181 181
1

Prime factors of 10136 are 2, 7,181. Prime factorization of 10136 in exponential form is:

10136 = 23×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 10134 and 10136.

LCM(10134,10136) = 23×32×71×1811×5631
LCM(10134,10136) = 51359112

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 10136

List of positive integer factors of 10136 that divides 10136 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068, 10136

Least Common Multiple of 10134 and 10136 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 10136, than apply into the LCM equation.

GCF(10134,10136) = 2
LCM(10134,10136) = ( 10134 × 10136) / 2
LCM(10134,10136) = 102718224 / 2
LCM(10134,10136) = 51359112

Properties of LCM 10134 and 10136

(i) The LCM of 10136 and 10134 is associative

LCM of 10134 and 10136 = LCM of 10136 and 10134

Related Least Common Multiples of 10134

Related Least Common Multiples of 10136

Frequently Asked Questions on LCM of 10134 and 10136

1. What is the LCM of 10134 and 10136?

Answer: LCM of 10134 and 10136 is 51359112.

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 10136?

Answer: Factors of 10136 are 1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068, 10136. There are 16 integers that are factors of 10136. The greatest factor of 10136 is 10136.

4. How to Find the LCM of 10134 and 10136?

Answer:

Least Common Multiple of 10134 and 10136 = 51359112

Step 1: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

Step 2: Find the prime factorization of 10136

10136 = 2 x 2 x 2 x 7 x 181

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

LCM = 51359112 = 2 x 2 x 2 x 3 x 3 x 7 x 181 x 563

Step 4: Therefore, the least common multiple of 10134 and 10136 is 51359112.