Least Common Multiple of 2237 and 2241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2237 and 2241 the smallest integer that is 5013117 that is divisible by both numbers.

Least Common Multiple (LCM) of 2237 and 2241 is 5013117.

LCM(2237,2241) = 5013117

LCM of 2237 and 2241

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

LCM of:
and

Least Common Multiple of 2237 and 2241

LCM of 2237 and 2241 is 5013117

Least common multiple can be found by multiplying the highest exponent prime factors of 2237 and 2241. First we will calculate the prime factors of 2237 and 2241.

Prime Factorization of 2237


2237 2237
1

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

2237 = 22371

Prime Factorization of 2241


3 2241
3 747
3 249
83 83
1

Prime factors of 2241 are 3,83. Prime factorization of 2241 in exponential form is:

2241 = 33×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2237 and 2241.

LCM(2237,2241) = 33×831×22371
LCM(2237,2241) = 5013117

Factors of 2237

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

1, 2237

Factors of 2241

List of positive integer factors of 2241 that divides 2241 without a remainder.

1, 3, 9, 27, 83, 249, 747, 2241

Least Common Multiple of 2237 and 2241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2237 and 2241, than apply into the LCM equation.

GCF(2237,2241) = 1
LCM(2237,2241) = ( 2237 × 2241) / 1
LCM(2237,2241) = 5013117 / 1
LCM(2237,2241) = 5013117

Properties of LCM 2237 and 2241

(i) The LCM of 2241 and 2237 is associative

LCM of 2237 and 2241 = LCM of 2241 and 2237

Related Least Common Multiples of 2237

Related Least Common Multiples of 2241

Frequently Asked Questions on LCM of 2237 and 2241

1. What is the LCM of 2237 and 2241?

Answer: LCM of 2237 and 2241 is 5013117.

2. 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.

3. What are the Factors of 2241?

Answer: Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241. There are 8 integers that are factors of 2241. The greatest factor of 2241 is 2241.

4. How to Find the LCM of 2237 and 2241?

Answer:

Least Common Multiple of 2237 and 2241 = 5013117

Step 1: Find the prime factorization of 2237

2237 = 2237

Step 2: Find the prime factorization of 2241

2241 = 3 x 3 x 3 x 83

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

LCM = 5013117 = 3 x 3 x 3 x 83 x 2237

Step 4: Therefore, the least common multiple of 2237 and 2241 is 5013117.