Least Common Multiple of 9120 and 9127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9120 and 9127 the smallest integer that is 83238240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9120 and 9127 is 83238240.

LCM(9120,9127) = 83238240

LCM of 9120 and 9127

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

LCM of:
and

Least Common Multiple of 9120 and 9127

LCM of 9120 and 9127 is 83238240

Least common multiple can be found by multiplying the highest exponent prime factors of 9120 and 9127. First we will calculate the prime factors of 9120 and 9127.

Prime Factorization of 9120


2 9120
2 4560
2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 9120 are 2, 3, 5,19. Prime factorization of 9120 in exponential form is:

9120 = 25×31×51×191

Prime Factorization of 9127


9127 9127
1

Prime factors of 9127 are 9127. Prime factorization of 9127 in exponential form is:

9127 = 91271

Now multiplying the highest exponent prime factors to calculate the LCM of 9120 and 9127.

LCM(9120,9127) = 25×31×51×191×91271
LCM(9120,9127) = 83238240

Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120

Factors of 9127

List of positive integer factors of 9127 that divides 9127 without a remainder.

1, 9127

Least Common Multiple of 9120 and 9127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9120 and 9127, than apply into the LCM equation.

GCF(9120,9127) = 1
LCM(9120,9127) = ( 9120 × 9127) / 1
LCM(9120,9127) = 83238240 / 1
LCM(9120,9127) = 83238240

Properties of LCM 9120 and 9127

(i) The LCM of 9127 and 9120 is associative

LCM of 9120 and 9127 = LCM of 9127 and 9120

Related Least Common Multiples of 9120

Related Least Common Multiples of 9127

Frequently Asked Questions on LCM of 9120 and 9127

1. What is the LCM of 9120 and 9127?

Answer: LCM of 9120 and 9127 is 83238240.

2. What are the Factors of 9120?

Answer: Factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120. There are 48 integers that are factors of 9120. The greatest factor of 9120 is 9120.

3. What are the Factors of 9127?

Answer: Factors of 9127 are 1, 9127. There are 2 integers that are factors of 9127. The greatest factor of 9127 is 9127.

4. How to Find the LCM of 9120 and 9127?

Answer:

Least Common Multiple of 9120 and 9127 = 83238240

Step 1: Find the prime factorization of 9120

9120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 9127

9127 = 9127

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

LCM = 83238240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 x 9127

Step 4: Therefore, the least common multiple of 9120 and 9127 is 83238240.