Least Common Multiple of 9137 and 9144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9137 and 9144 the smallest integer that is 83548728 that is divisible by both numbers.

Least Common Multiple (LCM) of 9137 and 9144 is 83548728.

LCM(9137,9144) = 83548728

LCM of 9137 and 9144

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

LCM of:
and

Least Common Multiple of 9137 and 9144

LCM of 9137 and 9144 is 83548728

Least common multiple can be found by multiplying the highest exponent prime factors of 9137 and 9144. First we will calculate the prime factors of 9137 and 9144.

Prime Factorization of 9137


9137 9137
1

Prime factors of 9137 are 9137. Prime factorization of 9137 in exponential form is:

9137 = 91371

Prime Factorization of 9144


2 9144
2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 9144 are 2, 3,127. Prime factorization of 9144 in exponential form is:

9144 = 23×32×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9137 and 9144.

LCM(9137,9144) = 23×32×1271×91371
LCM(9137,9144) = 83548728

Factors of 9137

List of positive integer factors of 9137 that divides 9137 without a remainder.

1, 9137

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144

Least Common Multiple of 9137 and 9144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9137 and 9144, than apply into the LCM equation.

GCF(9137,9144) = 1
LCM(9137,9144) = ( 9137 × 9144) / 1
LCM(9137,9144) = 83548728 / 1
LCM(9137,9144) = 83548728

Properties of LCM 9137 and 9144

(i) The LCM of 9144 and 9137 is associative

LCM of 9137 and 9144 = LCM of 9144 and 9137

Related Least Common Multiples of 9137

Related Least Common Multiples of 9144

Frequently Asked Questions on LCM of 9137 and 9144

1. What is the LCM of 9137 and 9144?

Answer: LCM of 9137 and 9144 is 83548728.

2. What are the Factors of 9137?

Answer: Factors of 9137 are 1, 9137. There are 2 integers that are factors of 9137. The greatest factor of 9137 is 9137.

3. What are the Factors of 9144?

Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.

4. How to Find the LCM of 9137 and 9144?

Answer:

Least Common Multiple of 9137 and 9144 = 83548728

Step 1: Find the prime factorization of 9137

9137 = 9137

Step 2: Find the prime factorization of 9144

9144 = 2 x 2 x 2 x 3 x 3 x 127

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

LCM = 83548728 = 2 x 2 x 2 x 3 x 3 x 127 x 9137

Step 4: Therefore, the least common multiple of 9137 and 9144 is 83548728.