Least Common Multiple of 10200 and 10202

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 10202 the smallest integer that is 52030200 that is divisible by both numbers.

Least Common Multiple (LCM) of 10200 and 10202 is 52030200.

LCM(10200,10202) = 52030200

LCM of 10200 and 10202

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

LCM of:
and

Least Common Multiple of 10200 and 10202

LCM of 10200 and 10202 is 52030200

Least common multiple can be found by multiplying the highest exponent prime factors of 10200 and 10202. First we will calculate the prime factors of 10200 and 10202.

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 10202


2 10202
5101 5101
1

Prime factors of 10202 are 2,5101. Prime factorization of 10202 in exponential form is:

10202 = 21×51011

Now multiplying the highest exponent prime factors to calculate the LCM of 10200 and 10202.

LCM(10200,10202) = 23×31×52×171×51011
LCM(10200,10202) = 52030200

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 10202

List of positive integer factors of 10202 that divides 10202 without a remainder.

1, 2, 5101, 10202

Least Common Multiple of 10200 and 10202 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 10202, than apply into the LCM equation.

GCF(10200,10202) = 2
LCM(10200,10202) = ( 10200 × 10202) / 2
LCM(10200,10202) = 104060400 / 2
LCM(10200,10202) = 52030200

Properties of LCM 10200 and 10202

(i) The LCM of 10202 and 10200 is associative

LCM of 10200 and 10202 = LCM of 10202 and 10200

Related Least Common Multiples of 10200

Related Least Common Multiples of 10202

Frequently Asked Questions on LCM of 10200 and 10202

1. What is the LCM of 10200 and 10202?

Answer: LCM of 10200 and 10202 is 52030200.

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 10202?

Answer: Factors of 10202 are 1, 2, 5101, 10202. There are 4 integers that are factors of 10202. The greatest factor of 10202 is 10202.

4. How to Find the LCM of 10200 and 10202?

Answer:

Least Common Multiple of 10200 and 10202 = 52030200

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 10202

10202 = 2 x 5101

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

LCM = 52030200 = 2 x 2 x 2 x 3 x 5 x 5 x 17 x 5101

Step 4: Therefore, the least common multiple of 10200 and 10202 is 52030200.