Least Common Multiple of 5104 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 5104 and 5112 the smallest integer that is 3261456 that is divisible by both numbers.

Least Common Multiple (LCM) of 5104 and 5112 is 3261456.

LCM(5104,5112) = 3261456

LCM of 5104 and 5112

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

LCM of:
and

Least Common Multiple of 5104 and 5112

LCM of 5104 and 5112 is 3261456

Least common multiple can be found by multiplying the highest exponent prime factors of 5104 and 5112. First we will calculate the prime factors of 5104 and 5112.

Prime Factorization of 5104


2 5104
2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 5104 are 2, 11,29. Prime factorization of 5104 in exponential form is:

5104 = 24×111×291

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 5104 and 5112.

LCM(5104,5112) = 24×32×111×291×711
LCM(5104,5112) = 3261456

Factors of 5104

List of positive integer factors of 5104 that divides 5104 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104

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 5104 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 5104 and 5112, than apply into the LCM equation.

GCF(5104,5112) = 8
LCM(5104,5112) = ( 5104 × 5112) / 8
LCM(5104,5112) = 26091648 / 8
LCM(5104,5112) = 3261456

Properties of LCM 5104 and 5112

(i) The LCM of 5112 and 5104 is associative

LCM of 5104 and 5112 = LCM of 5112 and 5104

Related Least Common Multiples of 5104

Related Least Common Multiples of 5112

Frequently Asked Questions on LCM of 5104 and 5112

1. What is the LCM of 5104 and 5112?

Answer: LCM of 5104 and 5112 is 3261456.

2. What are the Factors of 5104?

Answer: Factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104. There are 20 integers that are factors of 5104. The greatest factor of 5104 is 5104.

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 5104 and 5112?

Answer:

Least Common Multiple of 5104 and 5112 = 3261456

Step 1: Find the prime factorization of 5104

5104 = 2 x 2 x 2 x 2 x 11 x 29

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 = 3261456 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 5104 and 5112 is 3261456.