Least Common Multiple of 107 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 107 and 115 the smallest integer that is 12305 that is divisible by both numbers.

Least Common Multiple (LCM) of 107 and 115 is 12305.

LCM(107,115) = 12305

LCM of 107 and 115

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

LCM of:
and

Least Common Multiple of 107 and 115

LCM of 107 and 115 is 12305

Least common multiple can be found by multiplying the highest exponent prime factors of 107 and 115. First we will calculate the prime factors of 107 and 115.

Prime Factorization of 107


107 107
1

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 1071

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 107 and 115.

LCM(107,115) = 51×231×1071
LCM(107,115) = 12305

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1, 107

Factors of 115

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

1, 5, 23, 115

Least Common Multiple of 107 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 107 and 115, than apply into the LCM equation.

GCF(107,115) = 1
LCM(107,115) = ( 107 × 115) / 1
LCM(107,115) = 12305 / 1
LCM(107,115) = 12305

Properties of LCM 107 and 115

(i) The LCM of 115 and 107 is associative

LCM of 107 and 115 = LCM of 115 and 107

Related Least Common Multiples of 107

Related Least Common Multiples of 115

Frequently Asked Questions on LCM of 107 and 115

1. What is the LCM of 107 and 115?

Answer: LCM of 107 and 115 is 12305.

2. What are the Factors of 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

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 107 and 115?

Answer:

Least Common Multiple of 107 and 115 = 12305

Step 1: Find the prime factorization of 107

107 = 107

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 = 12305 = 5 x 23 x 107

Step 4: Therefore, the least common multiple of 107 and 115 is 12305.