Least Common Multiple of 6292 and 6300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6292 and 6300 the smallest integer that is 9909900 that is divisible by both numbers.

Least Common Multiple (LCM) of 6292 and 6300 is 9909900.

LCM(6292,6300) = 9909900

LCM of 6292 and 6300

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

LCM of:
and

Least Common Multiple of 6292 and 6300

LCM of 6292 and 6300 is 9909900

Least common multiple can be found by multiplying the highest exponent prime factors of 6292 and 6300. First we will calculate the prime factors of 6292 and 6300.

Prime Factorization of 6292


2 6292
2 3146
11 1573
11 143
13 13
1

Prime factors of 6292 are 2, 11,13. Prime factorization of 6292 in exponential form is:

6292 = 22×112×131

Prime Factorization of 6300


2 6300
2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 6300 are 2, 3, 5,7. Prime factorization of 6300 in exponential form is:

6300 = 22×32×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 6292 and 6300.

LCM(6292,6300) = 22×32×52×71×112×131
LCM(6292,6300) = 9909900

Factors of 6292

List of positive integer factors of 6292 that divides 6292 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300

Least Common Multiple of 6292 and 6300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6292 and 6300, than apply into the LCM equation.

GCF(6292,6300) = 4
LCM(6292,6300) = ( 6292 × 6300) / 4
LCM(6292,6300) = 39639600 / 4
LCM(6292,6300) = 9909900

Properties of LCM 6292 and 6300

(i) The LCM of 6300 and 6292 is associative

LCM of 6292 and 6300 = LCM of 6300 and 6292

Related Least Common Multiples of 6292

Related Least Common Multiples of 6300

Frequently Asked Questions on LCM of 6292 and 6300

1. What is the LCM of 6292 and 6300?

Answer: LCM of 6292 and 6300 is 9909900.

2. What are the Factors of 6292?

Answer: Factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292. There are 18 integers that are factors of 6292. The greatest factor of 6292 is 6292.

3. What are the Factors of 6300?

Answer: Factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300. There are 54 integers that are factors of 6300. The greatest factor of 6300 is 6300.

4. How to Find the LCM of 6292 and 6300?

Answer:

Least Common Multiple of 6292 and 6300 = 9909900

Step 1: Find the prime factorization of 6292

6292 = 2 x 2 x 11 x 11 x 13

Step 2: Find the prime factorization of 6300

6300 = 2 x 2 x 3 x 3 x 5 x 5 x 7

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

LCM = 9909900 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 6292 and 6300 is 9909900.