Least Common Multiple of 5105 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 5105 and 5112 the smallest integer that is 26096760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5105 and 5112 is 26096760.

LCM(5105,5112) = 26096760

LCM of 5105 and 5112

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

LCM of:
and

Least Common Multiple of 5105 and 5112

LCM of 5105 and 5112 is 26096760

Least common multiple can be found by multiplying the highest exponent prime factors of 5105 and 5112. First we will calculate the prime factors of 5105 and 5112.

Prime Factorization of 5105


5 5105
1021 1021
1

Prime factors of 5105 are 5,1021. Prime factorization of 5105 in exponential form is:

5105 = 51×10211

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 5105 and 5112.

LCM(5105,5112) = 23×32×51×711×10211
LCM(5105,5112) = 26096760

Factors of 5105

List of positive integer factors of 5105 that divides 5105 without a remainder.

1, 5, 1021, 5105

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 5105 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 5105 and 5112, than apply into the LCM equation.

GCF(5105,5112) = 1
LCM(5105,5112) = ( 5105 × 5112) / 1
LCM(5105,5112) = 26096760 / 1
LCM(5105,5112) = 26096760

Properties of LCM 5105 and 5112

(i) The LCM of 5112 and 5105 is associative

LCM of 5105 and 5112 = LCM of 5112 and 5105

Related Least Common Multiples of 5105

Related Least Common Multiples of 5112

Frequently Asked Questions on LCM of 5105 and 5112

1. What is the LCM of 5105 and 5112?

Answer: LCM of 5105 and 5112 is 26096760.

2. What are the Factors of 5105?

Answer: Factors of 5105 are 1, 5, 1021, 5105. There are 4 integers that are factors of 5105. The greatest factor of 5105 is 5105.

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 5105 and 5112?

Answer:

Least Common Multiple of 5105 and 5112 = 26096760

Step 1: Find the prime factorization of 5105

5105 = 5 x 1021

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 = 26096760 = 2 x 2 x 2 x 3 x 3 x 5 x 71 x 1021

Step 4: Therefore, the least common multiple of 5105 and 5112 is 26096760.