Least Common Multiple of 107 and 114

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 114 the smallest integer that is 12198 that is divisible by both numbers.

Least Common Multiple (LCM) of 107 and 114 is 12198.

LCM(107,114) = 12198

LCM of 107 and 114

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

LCM of:
and

Least Common Multiple of 107 and 114

LCM of 107 and 114 is 12198

Least common multiple can be found by multiplying the highest exponent prime factors of 107 and 114. First we will calculate the prime factors of 107 and 114.

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 114


2 114
3 57
19 19
1

Prime factors of 114 are 2, 3,19. Prime factorization of 114 in exponential form is:

114 = 21×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 107 and 114.

LCM(107,114) = 21×31×191×1071
LCM(107,114) = 12198

Factors of 107

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

1, 107

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Least Common Multiple of 107 and 114 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 114, than apply into the LCM equation.

GCF(107,114) = 1
LCM(107,114) = ( 107 × 114) / 1
LCM(107,114) = 12198 / 1
LCM(107,114) = 12198

Properties of LCM 107 and 114

(i) The LCM of 114 and 107 is associative

LCM of 107 and 114 = LCM of 114 and 107

Related Least Common Multiples of 107

Related Least Common Multiples of 114

Frequently Asked Questions on LCM of 107 and 114

1. What is the LCM of 107 and 114?

Answer: LCM of 107 and 114 is 12198.

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 114?

Answer: Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. There are 8 integers that are factors of 114. The greatest factor of 114 is 114.

4. How to Find the LCM of 107 and 114?

Answer:

Least Common Multiple of 107 and 114 = 12198

Step 1: Find the prime factorization of 107

107 = 107

Step 2: Find the prime factorization of 114

114 = 2 x 3 x 19

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

LCM = 12198 = 2 x 3 x 19 x 107

Step 4: Therefore, the least common multiple of 107 and 114 is 12198.