Least Common Multiple of 9138 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 9138 and 9142 the smallest integer that is 41769798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9138 and 9142 is 41769798.

LCM(9138,9142) = 41769798

LCM of 9138 and 9142

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

LCM of:
and

Least Common Multiple of 9138 and 9142

LCM of 9138 and 9142 is 41769798

Least common multiple can be found by multiplying the highest exponent prime factors of 9138 and 9142. First we will calculate the prime factors of 9138 and 9142.

Prime Factorization of 9138


2 9138
3 4569
1523 1523
1

Prime factors of 9138 are 2, 3,1523. Prime factorization of 9138 in exponential form is:

9138 = 21×31×15231

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 9138 and 9142.

LCM(9138,9142) = 21×31×71×6531×15231
LCM(9138,9142) = 41769798

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1, 2, 3, 6, 1523, 3046, 4569, 9138

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 9138 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 9138 and 9142, than apply into the LCM equation.

GCF(9138,9142) = 2
LCM(9138,9142) = ( 9138 × 9142) / 2
LCM(9138,9142) = 83539596 / 2
LCM(9138,9142) = 41769798

Properties of LCM 9138 and 9142

(i) The LCM of 9142 and 9138 is associative

LCM of 9138 and 9142 = LCM of 9142 and 9138

Related Least Common Multiples of 9138

Related Least Common Multiples of 9142

Frequently Asked Questions on LCM of 9138 and 9142

1. What is the LCM of 9138 and 9142?

Answer: LCM of 9138 and 9142 is 41769798.

2. What are the Factors of 9138?

Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.

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 9138 and 9142?

Answer:

Least Common Multiple of 9138 and 9142 = 41769798

Step 1: Find the prime factorization of 9138

9138 = 2 x 3 x 1523

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 = 41769798 = 2 x 3 x 7 x 653 x 1523

Step 4: Therefore, the least common multiple of 9138 and 9142 is 41769798.