Least Common Multiple of 9134 and 9142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9134 and 9142 the smallest integer that is 41751514 that is divisible by both numbers.

Least Common Multiple (LCM) of 9134 and 9142 is 41751514.

LCM(9134,9142) = 41751514

LCM of 9134 and 9142

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

LCM of:
and

Least Common Multiple of 9134 and 9142

LCM of 9134 and 9142 is 41751514

Least common multiple can be found by multiplying the highest exponent prime factors of 9134 and 9142. First we will calculate the prime factors of 9134 and 9142.

Prime Factorization of 9134


2 9134
4567 4567
1

Prime factors of 9134 are 2,4567. Prime factorization of 9134 in exponential form is:

9134 = 21×45671

Prime Factorization of 9142


2 9142
7 4571
653 653
1

Prime factors of 9142 are 2, 7,653. Prime factorization of 9142 in exponential form is:

9142 = 21×71×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 9134 and 9142.

LCM(9134,9142) = 21×71×6531×45671
LCM(9134,9142) = 41751514

Factors of 9134

List of positive integer factors of 9134 that divides 9134 without a remainder.

1, 2, 4567, 9134

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1, 2, 7, 14, 653, 1306, 4571, 9142

Least Common Multiple of 9134 and 9142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9134 and 9142, than apply into the LCM equation.

GCF(9134,9142) = 2
LCM(9134,9142) = ( 9134 × 9142) / 2
LCM(9134,9142) = 83503028 / 2
LCM(9134,9142) = 41751514

Properties of LCM 9134 and 9142

(i) The LCM of 9142 and 9134 is associative

LCM of 9134 and 9142 = LCM of 9142 and 9134

Related Least Common Multiples of 9134

Related Least Common Multiples of 9142

Frequently Asked Questions on LCM of 9134 and 9142

1. What is the LCM of 9134 and 9142?

Answer: LCM of 9134 and 9142 is 41751514.

2. What are the Factors of 9134?

Answer: Factors of 9134 are 1, 2, 4567, 9134. There are 4 integers that are factors of 9134. The greatest factor of 9134 is 9134.

3. What are the Factors of 9142?

Answer: Factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142. There are 8 integers that are factors of 9142. The greatest factor of 9142 is 9142.

4. How to Find the LCM of 9134 and 9142?

Answer:

Least Common Multiple of 9134 and 9142 = 41751514

Step 1: Find the prime factorization of 9134

9134 = 2 x 4567

Step 2: Find the prime factorization of 9142

9142 = 2 x 7 x 653

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

LCM = 41751514 = 2 x 7 x 653 x 4567

Step 4: Therefore, the least common multiple of 9134 and 9142 is 41751514.