Least Common Multiple of 13229 and 13236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13229 and 13236 the smallest integer that is 175099044 that is divisible by both numbers.

Least Common Multiple (LCM) of 13229 and 13236 is 175099044.

LCM(13229,13236) = 175099044

LCM of 13229 and 13236

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

LCM of:
and

Least Common Multiple of 13229 and 13236

LCM of 13229 and 13236 is 175099044

Least common multiple can be found by multiplying the highest exponent prime factors of 13229 and 13236. First we will calculate the prime factors of 13229 and 13236.

Prime Factorization of 13229


13229 13229
1

Prime factors of 13229 are 13229. Prime factorization of 13229 in exponential form is:

13229 = 132291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13229 and 13236.

LCM(13229,13236) = 22×31×11031×132291
LCM(13229,13236) = 175099044

Factors of 13229

List of positive integer factors of 13229 that divides 13229 without a remainder.

1, 13229

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

Least Common Multiple of 13229 and 13236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13229 and 13236, than apply into the LCM equation.

GCF(13229,13236) = 1
LCM(13229,13236) = ( 13229 × 13236) / 1
LCM(13229,13236) = 175099044 / 1
LCM(13229,13236) = 175099044

Properties of LCM 13229 and 13236

(i) The LCM of 13236 and 13229 is associative

LCM of 13229 and 13236 = LCM of 13236 and 13229

Related Least Common Multiples of 13229

Related Least Common Multiples of 13236

Frequently Asked Questions on LCM of 13229 and 13236

1. What is the LCM of 13229 and 13236?

Answer: LCM of 13229 and 13236 is 175099044.

2. What are the Factors of 13229?

Answer: Factors of 13229 are 1, 13229. There are 2 integers that are factors of 13229. The greatest factor of 13229 is 13229.

3. 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.

4. How to Find the LCM of 13229 and 13236?

Answer:

Least Common Multiple of 13229 and 13236 = 175099044

Step 1: Find the prime factorization of 13229

13229 = 13229

Step 2: Find the prime factorization of 13236

13236 = 2 x 2 x 3 x 1103

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

LCM = 175099044 = 2 x 2 x 3 x 1103 x 13229

Step 4: Therefore, the least common multiple of 13229 and 13236 is 175099044.