Least Common Multiple of 5100 and 5104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5100 and 5104 the smallest integer that is 6507600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5100 and 5104 is 6507600.

LCM(5100,5104) = 6507600

LCM of 5100 and 5104

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

LCM of:
and

Least Common Multiple of 5100 and 5104

LCM of 5100 and 5104 is 6507600

Least common multiple can be found by multiplying the highest exponent prime factors of 5100 and 5104. First we will calculate the prime factors of 5100 and 5104.

Prime Factorization of 5100


2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 5100 are 2, 3, 5,17. Prime factorization of 5100 in exponential form is:

5100 = 22×31×52×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5100 and 5104.

LCM(5100,5104) = 24×31×52×111×171×291
LCM(5100,5104) = 6507600

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100

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

Least Common Multiple of 5100 and 5104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5100 and 5104, than apply into the LCM equation.

GCF(5100,5104) = 4
LCM(5100,5104) = ( 5100 × 5104) / 4
LCM(5100,5104) = 26030400 / 4
LCM(5100,5104) = 6507600

Properties of LCM 5100 and 5104

(i) The LCM of 5104 and 5100 is associative

LCM of 5100 and 5104 = LCM of 5104 and 5100

Related Least Common Multiples of 5100

Related Least Common Multiples of 5104

Frequently Asked Questions on LCM of 5100 and 5104

1. What is the LCM of 5100 and 5104?

Answer: LCM of 5100 and 5104 is 6507600.

2. What are the Factors of 5100?

Answer: Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. There are 36 integers that are factors of 5100. The greatest factor of 5100 is 5100.

3. 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.

4. How to Find the LCM of 5100 and 5104?

Answer:

Least Common Multiple of 5100 and 5104 = 6507600

Step 1: Find the prime factorization of 5100

5100 = 2 x 2 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 5104

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

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

LCM = 6507600 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 17 x 29

Step 4: Therefore, the least common multiple of 5100 and 5104 is 6507600.