Least Common Multiple of 10202 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 10202 and 10206 the smallest integer that is 52060806 that is divisible by both numbers.

Least Common Multiple (LCM) of 10202 and 10206 is 52060806.

LCM(10202,10206) = 52060806

LCM of 10202 and 10206

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

LCM of:
and

Least Common Multiple of 10202 and 10206

LCM of 10202 and 10206 is 52060806

Least common multiple can be found by multiplying the highest exponent prime factors of 10202 and 10206. First we will calculate the prime factors of 10202 and 10206.

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

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 10202 and 10206.

LCM(10202,10206) = 21×36×71×51011
LCM(10202,10206) = 52060806

Factors of 10202

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

1, 2, 5101, 10202

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 10202 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 10202 and 10206, than apply into the LCM equation.

GCF(10202,10206) = 2
LCM(10202,10206) = ( 10202 × 10206) / 2
LCM(10202,10206) = 104121612 / 2
LCM(10202,10206) = 52060806

Properties of LCM 10202 and 10206

(i) The LCM of 10206 and 10202 is associative

LCM of 10202 and 10206 = LCM of 10206 and 10202

Related Least Common Multiples of 10202

Related Least Common Multiples of 10206

Frequently Asked Questions on LCM of 10202 and 10206

1. What is the LCM of 10202 and 10206?

Answer: LCM of 10202 and 10206 is 52060806.

2. 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.

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 10202 and 10206?

Answer:

Least Common Multiple of 10202 and 10206 = 52060806

Step 1: Find the prime factorization of 10202

10202 = 2 x 5101

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 = 52060806 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 5101

Step 4: Therefore, the least common multiple of 10202 and 10206 is 52060806.