Least Common Multiple of 10134 and 10142

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 10142 the smallest integer that is 51389514 that is divisible by both numbers.

Least Common Multiple (LCM) of 10134 and 10142 is 51389514.

LCM(10134,10142) = 51389514

LCM of 10134 and 10142

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

LCM of:
and

Least Common Multiple of 10134 and 10142

LCM of 10134 and 10142 is 51389514

Least common multiple can be found by multiplying the highest exponent prime factors of 10134 and 10142. First we will calculate the prime factors of 10134 and 10142.

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 10142


2 10142
11 5071
461 461
1

Prime factors of 10142 are 2, 11,461. Prime factorization of 10142 in exponential form is:

10142 = 21×111×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 10134 and 10142.

LCM(10134,10142) = 21×32×111×4611×5631
LCM(10134,10142) = 51389514

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 10142

List of positive integer factors of 10142 that divides 10142 without a remainder.

1, 2, 11, 22, 461, 922, 5071, 10142

Least Common Multiple of 10134 and 10142 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 10142, than apply into the LCM equation.

GCF(10134,10142) = 2
LCM(10134,10142) = ( 10134 × 10142) / 2
LCM(10134,10142) = 102779028 / 2
LCM(10134,10142) = 51389514

Properties of LCM 10134 and 10142

(i) The LCM of 10142 and 10134 is associative

LCM of 10134 and 10142 = LCM of 10142 and 10134

Related Least Common Multiples of 10134

Related Least Common Multiples of 10142

Frequently Asked Questions on LCM of 10134 and 10142

1. What is the LCM of 10134 and 10142?

Answer: LCM of 10134 and 10142 is 51389514.

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 10142?

Answer: Factors of 10142 are 1, 2, 11, 22, 461, 922, 5071, 10142. There are 8 integers that are factors of 10142. The greatest factor of 10142 is 10142.

4. How to Find the LCM of 10134 and 10142?

Answer:

Least Common Multiple of 10134 and 10142 = 51389514

Step 1: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

Step 2: Find the prime factorization of 10142

10142 = 2 x 11 x 461

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

LCM = 51389514 = 2 x 3 x 3 x 11 x 461 x 563

Step 4: Therefore, the least common multiple of 10134 and 10142 is 51389514.