Least Common Multiple of 13236 and 13241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13236 and 13241 the smallest integer that is 175257876 that is divisible by both numbers.

Least Common Multiple (LCM) of 13236 and 13241 is 175257876.

LCM(13236,13241) = 175257876

LCM of 13236 and 13241

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

LCM of:
and

Least Common Multiple of 13236 and 13241

LCM of 13236 and 13241 is 175257876

Least common multiple can be found by multiplying the highest exponent prime factors of 13236 and 13241. First we will calculate the prime factors of 13236 and 13241.

Prime Factorization of 13236


2 13236
2 6618
3 3309
1103 1103
1

Prime factors of 13236 are 2, 3,1103. Prime factorization of 13236 in exponential form is:

13236 = 22×31×11031

Prime Factorization of 13241


13241 13241
1

Prime factors of 13241 are 13241. Prime factorization of 13241 in exponential form is:

13241 = 132411

Now multiplying the highest exponent prime factors to calculate the LCM of 13236 and 13241.

LCM(13236,13241) = 22×31×11031×132411
LCM(13236,13241) = 175257876

Factors of 13236

List of positive integer factors of 13236 that divides 13236 without a remainder.

1, 2, 3, 4, 6, 12, 1103, 2206, 3309, 4412, 6618, 13236

Factors of 13241

List of positive integer factors of 13241 that divides 13241 without a remainder.

1, 13241

Least Common Multiple of 13236 and 13241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13236 and 13241, than apply into the LCM equation.

GCF(13236,13241) = 1
LCM(13236,13241) = ( 13236 × 13241) / 1
LCM(13236,13241) = 175257876 / 1
LCM(13236,13241) = 175257876

Properties of LCM 13236 and 13241

(i) The LCM of 13241 and 13236 is associative

LCM of 13236 and 13241 = LCM of 13241 and 13236

Related Least Common Multiples of 13236

Related Least Common Multiples of 13241

Frequently Asked Questions on LCM of 13236 and 13241

1. What is the LCM of 13236 and 13241?

Answer: LCM of 13236 and 13241 is 175257876.

2. What are the Factors of 13236?

Answer: Factors of 13236 are 1, 2, 3, 4, 6, 12, 1103, 2206, 3309, 4412, 6618, 13236. There are 12 integers that are factors of 13236. The greatest factor of 13236 is 13236.

3. What are the Factors of 13241?

Answer: Factors of 13241 are 1, 13241. There are 2 integers that are factors of 13241. The greatest factor of 13241 is 13241.

4. How to Find the LCM of 13236 and 13241?

Answer:

Least Common Multiple of 13236 and 13241 = 175257876

Step 1: Find the prime factorization of 13236

13236 = 2 x 2 x 3 x 1103

Step 2: Find the prime factorization of 13241

13241 = 13241

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

LCM = 175257876 = 2 x 2 x 3 x 1103 x 13241

Step 4: Therefore, the least common multiple of 13236 and 13241 is 175257876.