Least Common Multiple of 115 and 120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 115 and 120 the smallest integer that is 2760 that is divisible by both numbers.

Least Common Multiple (LCM) of 115 and 120 is 2760.

LCM(115,120) = 2760

LCM of 115 and 120

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

LCM of:
and

Least Common Multiple of 115 and 120

LCM of 115 and 120 is 2760

Least common multiple can be found by multiplying the highest exponent prime factors of 115 and 120. First we will calculate the prime factors of 115 and 120.

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

Prime Factorization of 120


2 120
2 60
2 30
3 15
5 5
1

Prime factors of 120 are 2, 3,5. Prime factorization of 120 in exponential form is:

120 = 23×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 115 and 120.

LCM(115,120) = 23×31×51×231
LCM(115,120) = 2760

Factors of 115

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

1, 5, 23, 115

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Least Common Multiple of 115 and 120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 115 and 120, than apply into the LCM equation.

GCF(115,120) = 5
LCM(115,120) = ( 115 × 120) / 5
LCM(115,120) = 13800 / 5
LCM(115,120) = 2760

Properties of LCM 115 and 120

(i) The LCM of 120 and 115 is associative

LCM of 115 and 120 = LCM of 120 and 115

Related Least Common Multiples of 115

Related Least Common Multiples of 120

Frequently Asked Questions on LCM of 115 and 120

1. What is the LCM of 115 and 120?

Answer: LCM of 115 and 120 is 2760.

2. 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.

3. What are the Factors of 120?

Answer: Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. There are 16 integers that are factors of 120. The greatest factor of 120 is 120.

4. How to Find the LCM of 115 and 120?

Answer:

Least Common Multiple of 115 and 120 = 2760

Step 1: Find the prime factorization of 115

115 = 5 x 23

Step 2: Find the prime factorization of 120

120 = 2 x 2 x 2 x 3 x 5

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

LCM = 2760 = 2 x 2 x 2 x 3 x 5 x 23

Step 4: Therefore, the least common multiple of 115 and 120 is 2760.