Least Common Multiple of 9136 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 9136 and 9142 the smallest integer that is 41760656 that is divisible by both numbers.

Least Common Multiple (LCM) of 9136 and 9142 is 41760656.

LCM(9136,9142) = 41760656

LCM of 9136 and 9142

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

LCM of:
and

Least Common Multiple of 9136 and 9142

LCM of 9136 and 9142 is 41760656

Least common multiple can be found by multiplying the highest exponent prime factors of 9136 and 9142. First we will calculate the prime factors of 9136 and 9142.

Prime Factorization of 9136


2 9136
2 4568
2 2284
2 1142
571 571
1

Prime factors of 9136 are 2,571. Prime factorization of 9136 in exponential form is:

9136 = 24×5711

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 9136 and 9142.

LCM(9136,9142) = 24×71×5711×6531
LCM(9136,9142) = 41760656

Factors of 9136

List of positive integer factors of 9136 that divides 9136 without a remainder.

1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136

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 9136 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 9136 and 9142, than apply into the LCM equation.

GCF(9136,9142) = 2
LCM(9136,9142) = ( 9136 × 9142) / 2
LCM(9136,9142) = 83521312 / 2
LCM(9136,9142) = 41760656

Properties of LCM 9136 and 9142

(i) The LCM of 9142 and 9136 is associative

LCM of 9136 and 9142 = LCM of 9142 and 9136

Related Least Common Multiples of 9136

Related Least Common Multiples of 9142

Frequently Asked Questions on LCM of 9136 and 9142

1. What is the LCM of 9136 and 9142?

Answer: LCM of 9136 and 9142 is 41760656.

2. What are the Factors of 9136?

Answer: Factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136. There are 10 integers that are factors of 9136. The greatest factor of 9136 is 9136.

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 9136 and 9142?

Answer:

Least Common Multiple of 9136 and 9142 = 41760656

Step 1: Find the prime factorization of 9136

9136 = 2 x 2 x 2 x 2 x 571

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 = 41760656 = 2 x 2 x 2 x 2 x 7 x 571 x 653

Step 4: Therefore, the least common multiple of 9136 and 9142 is 41760656.