Least Common Multiple of 15201 and 15206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15201 and 15206 the smallest integer that is 231146406 that is divisible by both numbers.

Least Common Multiple (LCM) of 15201 and 15206 is 231146406.

LCM(15201,15206) = 231146406

LCM of 15201 and 15206

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

LCM of:
and

Least Common Multiple of 15201 and 15206

LCM of 15201 and 15206 is 231146406

Least common multiple can be found by multiplying the highest exponent prime factors of 15201 and 15206. First we will calculate the prime factors of 15201 and 15206.

Prime Factorization of 15201


3 15201
3 5067
3 1689
563 563
1

Prime factors of 15201 are 3,563. Prime factorization of 15201 in exponential form is:

15201 = 33×5631

Prime Factorization of 15206


2 15206
7603 7603
1

Prime factors of 15206 are 2,7603. Prime factorization of 15206 in exponential form is:

15206 = 21×76031

Now multiplying the highest exponent prime factors to calculate the LCM of 15201 and 15206.

LCM(15201,15206) = 21×33×5631×76031
LCM(15201,15206) = 231146406

Factors of 15201

List of positive integer factors of 15201 that divides 15201 without a remainder.

1, 3, 9, 27, 563, 1689, 5067, 15201

Factors of 15206

List of positive integer factors of 15206 that divides 15206 without a remainder.

1, 2, 7603, 15206

Least Common Multiple of 15201 and 15206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15201 and 15206, than apply into the LCM equation.

GCF(15201,15206) = 1
LCM(15201,15206) = ( 15201 × 15206) / 1
LCM(15201,15206) = 231146406 / 1
LCM(15201,15206) = 231146406

Properties of LCM 15201 and 15206

(i) The LCM of 15206 and 15201 is associative

LCM of 15201 and 15206 = LCM of 15206 and 15201

Related Least Common Multiples of 15201

Related Least Common Multiples of 15206

Frequently Asked Questions on LCM of 15201 and 15206

1. What is the LCM of 15201 and 15206?

Answer: LCM of 15201 and 15206 is 231146406.

2. What are the Factors of 15201?

Answer: Factors of 15201 are 1, 3, 9, 27, 563, 1689, 5067, 15201. There are 8 integers that are factors of 15201. The greatest factor of 15201 is 15201.

3. What are the Factors of 15206?

Answer: Factors of 15206 are 1, 2, 7603, 15206. There are 4 integers that are factors of 15206. The greatest factor of 15206 is 15206.

4. How to Find the LCM of 15201 and 15206?

Answer:

Least Common Multiple of 15201 and 15206 = 231146406

Step 1: Find the prime factorization of 15201

15201 = 3 x 3 x 3 x 563

Step 2: Find the prime factorization of 15206

15206 = 2 x 7603

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

LCM = 231146406 = 2 x 3 x 3 x 3 x 563 x 7603

Step 4: Therefore, the least common multiple of 15201 and 15206 is 231146406.