Least Common Multiple of 15195 and 15201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15195 and 15201 the smallest integer that is 76993065 that is divisible by both numbers.

Least Common Multiple (LCM) of 15195 and 15201 is 76993065.

LCM(15195,15201) = 76993065

LCM of 15195 and 15201

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

LCM of:
and

Least Common Multiple of 15195 and 15201

LCM of 15195 and 15201 is 76993065

Least common multiple can be found by multiplying the highest exponent prime factors of 15195 and 15201. First we will calculate the prime factors of 15195 and 15201.

Prime Factorization of 15195


3 15195
5 5065
1013 1013
1

Prime factors of 15195 are 3, 5,1013. Prime factorization of 15195 in exponential form is:

15195 = 31×51×10131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15195 and 15201.

LCM(15195,15201) = 33×51×5631×10131
LCM(15195,15201) = 76993065

Factors of 15195

List of positive integer factors of 15195 that divides 15195 without a remainder.

1, 3, 5, 15, 1013, 3039, 5065, 15195

Factors of 15201

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

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

Least Common Multiple of 15195 and 15201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15195 and 15201, than apply into the LCM equation.

GCF(15195,15201) = 3
LCM(15195,15201) = ( 15195 × 15201) / 3
LCM(15195,15201) = 230979195 / 3
LCM(15195,15201) = 76993065

Properties of LCM 15195 and 15201

(i) The LCM of 15201 and 15195 is associative

LCM of 15195 and 15201 = LCM of 15201 and 15195

Related Least Common Multiples of 15195

Related Least Common Multiples of 15201

Frequently Asked Questions on LCM of 15195 and 15201

1. What is the LCM of 15195 and 15201?

Answer: LCM of 15195 and 15201 is 76993065.

2. What are the Factors of 15195?

Answer: Factors of 15195 are 1, 3, 5, 15, 1013, 3039, 5065, 15195. There are 8 integers that are factors of 15195. The greatest factor of 15195 is 15195.

3. 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.

4. How to Find the LCM of 15195 and 15201?

Answer:

Least Common Multiple of 15195 and 15201 = 76993065

Step 1: Find the prime factorization of 15195

15195 = 3 x 5 x 1013

Step 2: Find the prime factorization of 15201

15201 = 3 x 3 x 3 x 563

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

LCM = 76993065 = 3 x 3 x 3 x 5 x 563 x 1013

Step 4: Therefore, the least common multiple of 15195 and 15201 is 76993065.