Least Common Multiple of 2229 and 2236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2229 and 2236 the smallest integer that is 4984044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2229 and 2236 is 4984044.

LCM(2229,2236) = 4984044

LCM of 2229 and 2236

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

LCM of:
and

Least Common Multiple of 2229 and 2236

LCM of 2229 and 2236 is 4984044

Least common multiple can be found by multiplying the highest exponent prime factors of 2229 and 2236. First we will calculate the prime factors of 2229 and 2236.

Prime Factorization of 2229


3 2229
743 743
1

Prime factors of 2229 are 3,743. Prime factorization of 2229 in exponential form is:

2229 = 31×7431

Prime Factorization of 2236


2 2236
2 1118
13 559
43 43
1

Prime factors of 2236 are 2, 13,43. Prime factorization of 2236 in exponential form is:

2236 = 22×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2229 and 2236.

LCM(2229,2236) = 22×31×131×431×7431
LCM(2229,2236) = 4984044

Factors of 2229

List of positive integer factors of 2229 that divides 2229 without a remainder.

1, 3, 743, 2229

Factors of 2236

List of positive integer factors of 2236 that divides 2236 without a remainder.

1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118, 2236

Least Common Multiple of 2229 and 2236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2229 and 2236, than apply into the LCM equation.

GCF(2229,2236) = 1
LCM(2229,2236) = ( 2229 × 2236) / 1
LCM(2229,2236) = 4984044 / 1
LCM(2229,2236) = 4984044

Properties of LCM 2229 and 2236

(i) The LCM of 2236 and 2229 is associative

LCM of 2229 and 2236 = LCM of 2236 and 2229

Related Least Common Multiples of 2229

Related Least Common Multiples of 2236

Frequently Asked Questions on LCM of 2229 and 2236

1. What is the LCM of 2229 and 2236?

Answer: LCM of 2229 and 2236 is 4984044.

2. What are the Factors of 2229?

Answer: Factors of 2229 are 1, 3, 743, 2229. There are 4 integers that are factors of 2229. The greatest factor of 2229 is 2229.

3. What are the Factors of 2236?

Answer: Factors of 2236 are 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118, 2236. There are 12 integers that are factors of 2236. The greatest factor of 2236 is 2236.

4. How to Find the LCM of 2229 and 2236?

Answer:

Least Common Multiple of 2229 and 2236 = 4984044

Step 1: Find the prime factorization of 2229

2229 = 3 x 743

Step 2: Find the prime factorization of 2236

2236 = 2 x 2 x 13 x 43

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

LCM = 4984044 = 2 x 2 x 3 x 13 x 43 x 743

Step 4: Therefore, the least common multiple of 2229 and 2236 is 4984044.