Least Common Multiple of 10107 and 10112

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 10112 the smallest integer that is 102201984 that is divisible by both numbers.

Least Common Multiple (LCM) of 10107 and 10112 is 102201984.

LCM(10107,10112) = 102201984

LCM of 10107 and 10112

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

LCM of:
and

Least Common Multiple of 10107 and 10112

LCM of 10107 and 10112 is 102201984

Least common multiple can be found by multiplying the highest exponent prime factors of 10107 and 10112. First we will calculate the prime factors of 10107 and 10112.

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 10112


2 10112
2 5056
2 2528
2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 10112 are 2,79. Prime factorization of 10112 in exponential form is:

10112 = 27×791

Now multiplying the highest exponent prime factors to calculate the LCM of 10107 and 10112.

LCM(10107,10112) = 27×32×791×11231
LCM(10107,10112) = 102201984

Factors of 10107

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

1, 3, 9, 1123, 3369, 10107

Factors of 10112

List of positive integer factors of 10112 that divides 10112 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 316, 632, 1264, 2528, 5056, 10112

Least Common Multiple of 10107 and 10112 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 10112, than apply into the LCM equation.

GCF(10107,10112) = 1
LCM(10107,10112) = ( 10107 × 10112) / 1
LCM(10107,10112) = 102201984 / 1
LCM(10107,10112) = 102201984

Properties of LCM 10107 and 10112

(i) The LCM of 10112 and 10107 is associative

LCM of 10107 and 10112 = LCM of 10112 and 10107

Related Least Common Multiples of 10107

Related Least Common Multiples of 10112

Frequently Asked Questions on LCM of 10107 and 10112

1. What is the LCM of 10107 and 10112?

Answer: LCM of 10107 and 10112 is 102201984.

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 10112?

Answer: Factors of 10112 are 1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 316, 632, 1264, 2528, 5056, 10112. There are 16 integers that are factors of 10112. The greatest factor of 10112 is 10112.

4. How to Find the LCM of 10107 and 10112?

Answer:

Least Common Multiple of 10107 and 10112 = 102201984

Step 1: Find the prime factorization of 10107

10107 = 3 x 3 x 1123

Step 2: Find the prime factorization of 10112

10112 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 79

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

LCM = 102201984 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 79 x 1123

Step 4: Therefore, the least common multiple of 10107 and 10112 is 102201984.