Least Common Multiple of 15201 and 15208

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 15208 the smallest integer that is 231176808 that is divisible by both numbers.

Least Common Multiple (LCM) of 15201 and 15208 is 231176808.

LCM(15201,15208) = 231176808

LCM of 15201 and 15208

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

LCM of:
and

Least Common Multiple of 15201 and 15208

LCM of 15201 and 15208 is 231176808

Least common multiple can be found by multiplying the highest exponent prime factors of 15201 and 15208. First we will calculate the prime factors of 15201 and 15208.

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 15208


2 15208
2 7604
2 3802
1901 1901
1

Prime factors of 15208 are 2,1901. Prime factorization of 15208 in exponential form is:

15208 = 23×19011

Now multiplying the highest exponent prime factors to calculate the LCM of 15201 and 15208.

LCM(15201,15208) = 23×33×5631×19011
LCM(15201,15208) = 231176808

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 15208

List of positive integer factors of 15208 that divides 15208 without a remainder.

1, 2, 4, 8, 1901, 3802, 7604, 15208

Least Common Multiple of 15201 and 15208 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 15208, than apply into the LCM equation.

GCF(15201,15208) = 1
LCM(15201,15208) = ( 15201 × 15208) / 1
LCM(15201,15208) = 231176808 / 1
LCM(15201,15208) = 231176808

Properties of LCM 15201 and 15208

(i) The LCM of 15208 and 15201 is associative

LCM of 15201 and 15208 = LCM of 15208 and 15201

Related Least Common Multiples of 15201

Related Least Common Multiples of 15208

Frequently Asked Questions on LCM of 15201 and 15208

1. What is the LCM of 15201 and 15208?

Answer: LCM of 15201 and 15208 is 231176808.

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 15208?

Answer: Factors of 15208 are 1, 2, 4, 8, 1901, 3802, 7604, 15208. There are 8 integers that are factors of 15208. The greatest factor of 15208 is 15208.

4. How to Find the LCM of 15201 and 15208?

Answer:

Least Common Multiple of 15201 and 15208 = 231176808

Step 1: Find the prime factorization of 15201

15201 = 3 x 3 x 3 x 563

Step 2: Find the prime factorization of 15208

15208 = 2 x 2 x 2 x 1901

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

LCM = 231176808 = 2 x 2 x 2 x 3 x 3 x 3 x 563 x 1901

Step 4: Therefore, the least common multiple of 15201 and 15208 is 231176808.