Least Common Multiple of 9139 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 9139 and 9144 the smallest integer that is 83567016 that is divisible by both numbers.

Least Common Multiple (LCM) of 9139 and 9144 is 83567016.

LCM(9139,9144) = 83567016

LCM of 9139 and 9144

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

LCM of:
and

Least Common Multiple of 9139 and 9144

LCM of 9139 and 9144 is 83567016

Least common multiple can be found by multiplying the highest exponent prime factors of 9139 and 9144. First we will calculate the prime factors of 9139 and 9144.

Prime Factorization of 9139


13 9139
19 703
37 37
1

Prime factors of 9139 are 13, 19,37. Prime factorization of 9139 in exponential form is:

9139 = 131×191×371

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 9139 and 9144.

LCM(9139,9144) = 23×32×131×191×371×1271
LCM(9139,9144) = 83567016

Factors of 9139

List of positive integer factors of 9139 that divides 9139 without a remainder.

1, 13, 19, 37, 247, 481, 703, 9139

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 9139 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 9139 and 9144, than apply into the LCM equation.

GCF(9139,9144) = 1
LCM(9139,9144) = ( 9139 × 9144) / 1
LCM(9139,9144) = 83567016 / 1
LCM(9139,9144) = 83567016

Properties of LCM 9139 and 9144

(i) The LCM of 9144 and 9139 is associative

LCM of 9139 and 9144 = LCM of 9144 and 9139

Related Least Common Multiples of 9139

Related Least Common Multiples of 9144

Frequently Asked Questions on LCM of 9139 and 9144

1. What is the LCM of 9139 and 9144?

Answer: LCM of 9139 and 9144 is 83567016.

2. What are the Factors of 9139?

Answer: Factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139. There are 8 integers that are factors of 9139. The greatest factor of 9139 is 9139.

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 9139 and 9144?

Answer:

Least Common Multiple of 9139 and 9144 = 83567016

Step 1: Find the prime factorization of 9139

9139 = 13 x 19 x 37

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 = 83567016 = 2 x 2 x 2 x 3 x 3 x 13 x 19 x 37 x 127

Step 4: Therefore, the least common multiple of 9139 and 9144 is 83567016.