Least Common Multiple of 9134 and 9138

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 9138 the smallest integer that is 41733246 that is divisible by both numbers.

Least Common Multiple (LCM) of 9134 and 9138 is 41733246.

LCM(9134,9138) = 41733246

LCM of 9134 and 9138

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

LCM of:
and

Least Common Multiple of 9134 and 9138

LCM of 9134 and 9138 is 41733246

Least common multiple can be found by multiplying the highest exponent prime factors of 9134 and 9138. First we will calculate the prime factors of 9134 and 9138.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9134 and 9138.

LCM(9134,9138) = 21×31×15231×45671
LCM(9134,9138) = 41733246

Factors of 9134

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

1, 2, 4567, 9134

Factors of 9138

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

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

Least Common Multiple of 9134 and 9138 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 9138, than apply into the LCM equation.

GCF(9134,9138) = 2
LCM(9134,9138) = ( 9134 × 9138) / 2
LCM(9134,9138) = 83466492 / 2
LCM(9134,9138) = 41733246

Properties of LCM 9134 and 9138

(i) The LCM of 9138 and 9134 is associative

LCM of 9134 and 9138 = LCM of 9138 and 9134

Related Least Common Multiples of 9134

Related Least Common Multiples of 9138

Frequently Asked Questions on LCM of 9134 and 9138

1. What is the LCM of 9134 and 9138?

Answer: LCM of 9134 and 9138 is 41733246.

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 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.

4. How to Find the LCM of 9134 and 9138?

Answer:

Least Common Multiple of 9134 and 9138 = 41733246

Step 1: Find the prime factorization of 9134

9134 = 2 x 4567

Step 2: Find the prime factorization of 9138

9138 = 2 x 3 x 1523

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

LCM = 41733246 = 2 x 3 x 1523 x 4567

Step 4: Therefore, the least common multiple of 9134 and 9138 is 41733246.