Least Common Multiple of 2235 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 2235 and 2241 the smallest integer that is 1669545 that is divisible by both numbers.

Least Common Multiple (LCM) of 2235 and 2241 is 1669545.

LCM(2235,2241) = 1669545

LCM of 2235 and 2241

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

LCM of:
and

Least Common Multiple of 2235 and 2241

LCM of 2235 and 2241 is 1669545

Least common multiple can be found by multiplying the highest exponent prime factors of 2235 and 2241. First we will calculate the prime factors of 2235 and 2241.

Prime Factorization of 2235


3 2235
5 745
149 149
1

Prime factors of 2235 are 3, 5,149. Prime factorization of 2235 in exponential form is:

2235 = 31×51×1491

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 2235 and 2241.

LCM(2235,2241) = 33×51×831×1491
LCM(2235,2241) = 1669545

Factors of 2235

List of positive integer factors of 2235 that divides 2235 without a remainder.

1, 3, 5, 15, 149, 447, 745, 2235

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 2235 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 2235 and 2241, than apply into the LCM equation.

GCF(2235,2241) = 3
LCM(2235,2241) = ( 2235 × 2241) / 3
LCM(2235,2241) = 5008635 / 3
LCM(2235,2241) = 1669545

Properties of LCM 2235 and 2241

(i) The LCM of 2241 and 2235 is associative

LCM of 2235 and 2241 = LCM of 2241 and 2235

Related Least Common Multiples of 2235

Related Least Common Multiples of 2241

Frequently Asked Questions on LCM of 2235 and 2241

1. What is the LCM of 2235 and 2241?

Answer: LCM of 2235 and 2241 is 1669545.

2. What are the Factors of 2235?

Answer: Factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235. There are 8 integers that are factors of 2235. The greatest factor of 2235 is 2235.

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 2235 and 2241?

Answer:

Least Common Multiple of 2235 and 2241 = 1669545

Step 1: Find the prime factorization of 2235

2235 = 3 x 5 x 149

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 = 1669545 = 3 x 3 x 3 x 5 x 83 x 149

Step 4: Therefore, the least common multiple of 2235 and 2241 is 1669545.