Least Common Multiple of 10107 and 10114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10107 and 10114 the smallest integer that is 102222198 that is divisible by both numbers.

Least Common Multiple (LCM) of 10107 and 10114 is 102222198.

LCM(10107,10114) = 102222198

LCM of 10107 and 10114

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

LCM of:
and

Least Common Multiple of 10107 and 10114

LCM of 10107 and 10114 is 102222198

Least common multiple can be found by multiplying the highest exponent prime factors of 10107 and 10114. First we will calculate the prime factors of 10107 and 10114.

Prime Factorization of 10107


3 10107
3 3369
1123 1123
1

Prime factors of 10107 are 3,1123. Prime factorization of 10107 in exponential form is:

10107 = 32×11231

Prime Factorization of 10114


2 10114
13 5057
389 389
1

Prime factors of 10114 are 2, 13,389. Prime factorization of 10114 in exponential form is:

10114 = 21×131×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 10107 and 10114.

LCM(10107,10114) = 21×32×131×3891×11231
LCM(10107,10114) = 102222198

Factors of 10107

List of positive integer factors of 10107 that divides 10107 without a remainder.

1, 3, 9, 1123, 3369, 10107

Factors of 10114

List of positive integer factors of 10114 that divides 10114 without a remainder.

1, 2, 13, 26, 389, 778, 5057, 10114

Least Common Multiple of 10107 and 10114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10107 and 10114, than apply into the LCM equation.

GCF(10107,10114) = 1
LCM(10107,10114) = ( 10107 × 10114) / 1
LCM(10107,10114) = 102222198 / 1
LCM(10107,10114) = 102222198

Properties of LCM 10107 and 10114

(i) The LCM of 10114 and 10107 is associative

LCM of 10107 and 10114 = LCM of 10114 and 10107

Related Least Common Multiples of 10107

Related Least Common Multiples of 10114

Frequently Asked Questions on LCM of 10107 and 10114

1. What is the LCM of 10107 and 10114?

Answer: LCM of 10107 and 10114 is 102222198.

2. What are the Factors of 10107?

Answer: Factors of 10107 are 1, 3, 9, 1123, 3369, 10107. There are 6 integers that are factors of 10107. The greatest factor of 10107 is 10107.

3. What are the Factors of 10114?

Answer: Factors of 10114 are 1, 2, 13, 26, 389, 778, 5057, 10114. There are 8 integers that are factors of 10114. The greatest factor of 10114 is 10114.

4. How to Find the LCM of 10107 and 10114?

Answer:

Least Common Multiple of 10107 and 10114 = 102222198

Step 1: Find the prime factorization of 10107

10107 = 3 x 3 x 1123

Step 2: Find the prime factorization of 10114

10114 = 2 x 13 x 389

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

LCM = 102222198 = 2 x 3 x 3 x 13 x 389 x 1123

Step 4: Therefore, the least common multiple of 10107 and 10114 is 102222198.