Least Common Multiple of 2229 and 2237

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 2237 the smallest integer that is 4986273 that is divisible by both numbers.

Least Common Multiple (LCM) of 2229 and 2237 is 4986273.

LCM(2229,2237) = 4986273

LCM of 2229 and 2237

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

LCM of:
and

Least Common Multiple of 2229 and 2237

LCM of 2229 and 2237 is 4986273

Least common multiple can be found by multiplying the highest exponent prime factors of 2229 and 2237. First we will calculate the prime factors of 2229 and 2237.

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 2237


2237 2237
1

Prime factors of 2237 are 2237. Prime factorization of 2237 in exponential form is:

2237 = 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 2229 and 2237.

LCM(2229,2237) = 31×7431×22371
LCM(2229,2237) = 4986273

Factors of 2229

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

1, 3, 743, 2229

Factors of 2237

List of positive integer factors of 2237 that divides 2237 without a remainder.

1, 2237

Least Common Multiple of 2229 and 2237 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 2237, than apply into the LCM equation.

GCF(2229,2237) = 1
LCM(2229,2237) = ( 2229 × 2237) / 1
LCM(2229,2237) = 4986273 / 1
LCM(2229,2237) = 4986273

Properties of LCM 2229 and 2237

(i) The LCM of 2237 and 2229 is associative

LCM of 2229 and 2237 = LCM of 2237 and 2229

Related Least Common Multiples of 2229

Related Least Common Multiples of 2237

Frequently Asked Questions on LCM of 2229 and 2237

1. What is the LCM of 2229 and 2237?

Answer: LCM of 2229 and 2237 is 4986273.

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 2237?

Answer: Factors of 2237 are 1, 2237. There are 2 integers that are factors of 2237. The greatest factor of 2237 is 2237.

4. How to Find the LCM of 2229 and 2237?

Answer:

Least Common Multiple of 2229 and 2237 = 4986273

Step 1: Find the prime factorization of 2229

2229 = 3 x 743

Step 2: Find the prime factorization of 2237

2237 = 2237

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

LCM = 4986273 = 3 x 743 x 2237

Step 4: Therefore, the least common multiple of 2229 and 2237 is 4986273.