Least Common Multiple of 10200 and 10203

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 10203 the smallest integer that is 34690200 that is divisible by both numbers.

Least Common Multiple (LCM) of 10200 and 10203 is 34690200.

LCM(10200,10203) = 34690200

LCM of 10200 and 10203

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

LCM of:
and

Least Common Multiple of 10200 and 10203

LCM of 10200 and 10203 is 34690200

Least common multiple can be found by multiplying the highest exponent prime factors of 10200 and 10203. First we will calculate the prime factors of 10200 and 10203.

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 10203


3 10203
19 3401
179 179
1

Prime factors of 10203 are 3, 19,179. Prime factorization of 10203 in exponential form is:

10203 = 31×191×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 10200 and 10203.

LCM(10200,10203) = 23×31×52×171×191×1791
LCM(10200,10203) = 34690200

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 10203

List of positive integer factors of 10203 that divides 10203 without a remainder.

1, 3, 19, 57, 179, 537, 3401, 10203

Least Common Multiple of 10200 and 10203 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 10203, than apply into the LCM equation.

GCF(10200,10203) = 3
LCM(10200,10203) = ( 10200 × 10203) / 3
LCM(10200,10203) = 104070600 / 3
LCM(10200,10203) = 34690200

Properties of LCM 10200 and 10203

(i) The LCM of 10203 and 10200 is associative

LCM of 10200 and 10203 = LCM of 10203 and 10200

Related Least Common Multiples of 10200

Related Least Common Multiples of 10203

Frequently Asked Questions on LCM of 10200 and 10203

1. What is the LCM of 10200 and 10203?

Answer: LCM of 10200 and 10203 is 34690200.

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 10203?

Answer: Factors of 10203 are 1, 3, 19, 57, 179, 537, 3401, 10203. There are 8 integers that are factors of 10203. The greatest factor of 10203 is 10203.

4. How to Find the LCM of 10200 and 10203?

Answer:

Least Common Multiple of 10200 and 10203 = 34690200

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 10203

10203 = 3 x 19 x 179

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

LCM = 34690200 = 2 x 2 x 2 x 3 x 5 x 5 x 17 x 19 x 179

Step 4: Therefore, the least common multiple of 10200 and 10203 is 34690200.