Least Common Multiple of 10200 and 10206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10200 and 10206 the smallest integer that is 17350200 that is divisible by both numbers.

Least Common Multiple (LCM) of 10200 and 10206 is 17350200.

LCM(10200,10206) = 17350200

LCM of 10200 and 10206

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

LCM of:
and

Least Common Multiple of 10200 and 10206

LCM of 10200 and 10206 is 17350200

Least common multiple can be found by multiplying the highest exponent prime factors of 10200 and 10206. First we will calculate the prime factors of 10200 and 10206.

Prime Factorization of 10200


2 10200
2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 10200 are 2, 3, 5,17. Prime factorization of 10200 in exponential form is:

10200 = 23×31×52×171

Prime Factorization of 10206


2 10206
3 5103
3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 10206 are 2, 3,7. Prime factorization of 10206 in exponential form is:

10206 = 21×36×71

Now multiplying the highest exponent prime factors to calculate the LCM of 10200 and 10206.

LCM(10200,10206) = 23×36×52×71×171
LCM(10200,10206) = 17350200

Factors of 10200

List of positive integer factors of 10200 that divides 10200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34, 40, 50, 51, 60, 68, 75, 85, 100, 102, 120, 136, 150, 170, 200, 204, 255, 300, 340, 408, 425, 510, 600, 680, 850, 1020, 1275, 1700, 2040, 2550, 3400, 5100, 10200

Factors of 10206

List of positive integer factors of 10206 that divides 10206 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 729, 1134, 1458, 1701, 3402, 5103, 10206

Least Common Multiple of 10200 and 10206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10200 and 10206, than apply into the LCM equation.

GCF(10200,10206) = 6
LCM(10200,10206) = ( 10200 × 10206) / 6
LCM(10200,10206) = 104101200 / 6
LCM(10200,10206) = 17350200

Properties of LCM 10200 and 10206

(i) The LCM of 10206 and 10200 is associative

LCM of 10200 and 10206 = LCM of 10206 and 10200

Related Least Common Multiples of 10200

Related Least Common Multiples of 10206

Frequently Asked Questions on LCM of 10200 and 10206

1. What is the LCM of 10200 and 10206?

Answer: LCM of 10200 and 10206 is 17350200.

2. What are the Factors of 10200?

Answer: Factors of 10200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34, 40, 50, 51, 60, 68, 75, 85, 100, 102, 120, 136, 150, 170, 200, 204, 255, 300, 340, 408, 425, 510, 600, 680, 850, 1020, 1275, 1700, 2040, 2550, 3400, 5100, 10200. There are 48 integers that are factors of 10200. The greatest factor of 10200 is 10200.

3. What are the Factors of 10206?

Answer: Factors of 10206 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 729, 1134, 1458, 1701, 3402, 5103, 10206. There are 28 integers that are factors of 10206. The greatest factor of 10206 is 10206.

4. How to Find the LCM of 10200 and 10206?

Answer:

Least Common Multiple of 10200 and 10206 = 17350200

Step 1: Find the prime factorization of 10200

10200 = 2 x 2 x 2 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 10206

10206 = 2 x 3 x 3 x 3 x 3 x 3 x 3 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 = 17350200 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 10200 and 10206 is 17350200.