Least Common Multiple of 5107 and 5112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5107 and 5112 the smallest integer that is 26106984 that is divisible by both numbers.

Least Common Multiple (LCM) of 5107 and 5112 is 26106984.

LCM(5107,5112) = 26106984

LCM of 5107 and 5112

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

LCM of:
and

Least Common Multiple of 5107 and 5112

LCM of 5107 and 5112 is 26106984

Least common multiple can be found by multiplying the highest exponent prime factors of 5107 and 5112. First we will calculate the prime factors of 5107 and 5112.

Prime Factorization of 5107


5107 5107
1

Prime factors of 5107 are 5107. Prime factorization of 5107 in exponential form is:

5107 = 51071

Prime Factorization of 5112


2 5112
2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 5112 are 2, 3,71. Prime factorization of 5112 in exponential form is:

5112 = 23×32×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5107 and 5112.

LCM(5107,5112) = 23×32×711×51071
LCM(5107,5112) = 26106984

Factors of 5107

List of positive integer factors of 5107 that divides 5107 without a remainder.

1, 5107

Factors of 5112

List of positive integer factors of 5112 that divides 5112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112

Least Common Multiple of 5107 and 5112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5107 and 5112, than apply into the LCM equation.

GCF(5107,5112) = 1
LCM(5107,5112) = ( 5107 × 5112) / 1
LCM(5107,5112) = 26106984 / 1
LCM(5107,5112) = 26106984

Properties of LCM 5107 and 5112

(i) The LCM of 5112 and 5107 is associative

LCM of 5107 and 5112 = LCM of 5112 and 5107

Related Least Common Multiples of 5107

Related Least Common Multiples of 5112

Frequently Asked Questions on LCM of 5107 and 5112

1. What is the LCM of 5107 and 5112?

Answer: LCM of 5107 and 5112 is 26106984.

2. What are the Factors of 5107?

Answer: Factors of 5107 are 1, 5107. There are 2 integers that are factors of 5107. The greatest factor of 5107 is 5107.

3. What are the Factors of 5112?

Answer: Factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112. There are 24 integers that are factors of 5112. The greatest factor of 5112 is 5112.

4. How to Find the LCM of 5107 and 5112?

Answer:

Least Common Multiple of 5107 and 5112 = 26106984

Step 1: Find the prime factorization of 5107

5107 = 5107

Step 2: Find the prime factorization of 5112

5112 = 2 x 2 x 2 x 3 x 3 x 71

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

LCM = 26106984 = 2 x 2 x 2 x 3 x 3 x 71 x 5107

Step 4: Therefore, the least common multiple of 5107 and 5112 is 26106984.