Least Common Multiple of 10201 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 10201 and 10206 the smallest integer that is 104111406 that is divisible by both numbers.

Least Common Multiple (LCM) of 10201 and 10206 is 104111406.

LCM(10201,10206) = 104111406

LCM of 10201 and 10206

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

LCM of:
and

Least Common Multiple of 10201 and 10206

LCM of 10201 and 10206 is 104111406

Least common multiple can be found by multiplying the highest exponent prime factors of 10201 and 10206. First we will calculate the prime factors of 10201 and 10206.

Prime Factorization of 10201


101 10201
101 101
1

Prime factors of 10201 are 101. Prime factorization of 10201 in exponential form is:

10201 = 1012

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 10201 and 10206.

LCM(10201,10206) = 21×36×71×1012
LCM(10201,10206) = 104111406

Factors of 10201

List of positive integer factors of 10201 that divides 10201 without a remainder.

1, 101, 10201

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 10201 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 10201 and 10206, than apply into the LCM equation.

GCF(10201,10206) = 1
LCM(10201,10206) = ( 10201 × 10206) / 1
LCM(10201,10206) = 104111406 / 1
LCM(10201,10206) = 104111406

Properties of LCM 10201 and 10206

(i) The LCM of 10206 and 10201 is associative

LCM of 10201 and 10206 = LCM of 10206 and 10201

Related Least Common Multiples of 10201

Related Least Common Multiples of 10206

Frequently Asked Questions on LCM of 10201 and 10206

1. What is the LCM of 10201 and 10206?

Answer: LCM of 10201 and 10206 is 104111406.

2. What are the Factors of 10201?

Answer: Factors of 10201 are 1, 101, 10201. There are 3 integers that are factors of 10201. The greatest factor of 10201 is 10201.

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 10201 and 10206?

Answer:

Least Common Multiple of 10201 and 10206 = 104111406

Step 1: Find the prime factorization of 10201

10201 = 101 x 101

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 = 104111406 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 101 x 101

Step 4: Therefore, the least common multiple of 10201 and 10206 is 104111406.