Least Common Multiple of 96 and 115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 96 and 115 the smallest integer that is 11040 that is divisible by both numbers.

Least Common Multiple (LCM) of 96 and 115 is 11040.

LCM(96,115) = 11040

LCM of 96 and 115

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

LCM of:
and

Least Common Multiple of 96 and 115

LCM of 96 and 115 is 11040

Least common multiple can be found by multiplying the highest exponent prime factors of 96 and 115. First we will calculate the prime factors of 96 and 115.

Prime Factorization of 96


2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 96 are 2,3. Prime factorization of 96 in exponential form is:

96 = 25×31

Prime Factorization of 115


5 115
23 23
1

Prime factors of 115 are 5,23. Prime factorization of 115 in exponential form is:

115 = 51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 96 and 115.

LCM(96,115) = 25×31×51×231
LCM(96,115) = 11040

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Least Common Multiple of 96 and 115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96 and 115, than apply into the LCM equation.

GCF(96,115) = 1
LCM(96,115) = ( 96 × 115) / 1
LCM(96,115) = 11040 / 1
LCM(96,115) = 11040

Properties of LCM 96 and 115

(i) The LCM of 115 and 96 is associative

LCM of 96 and 115 = LCM of 115 and 96

Related Least Common Multiples of 96

Related Least Common Multiples of 115

Frequently Asked Questions on LCM of 96 and 115

1. What is the LCM of 96 and 115?

Answer: LCM of 96 and 115 is 11040.

2. What are the Factors of 96?

Answer: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. There are 12 integers that are factors of 96. The greatest factor of 96 is 96.

3. What are the Factors of 115?

Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.

4. How to Find the LCM of 96 and 115?

Answer:

Least Common Multiple of 96 and 115 = 11040

Step 1: Find the prime factorization of 96

96 = 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 115

115 = 5 x 23

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

LCM = 11040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23

Step 4: Therefore, the least common multiple of 96 and 115 is 11040.