Least Common Multiple of 2231 and 2235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2231 and 2235 the smallest integer that is 4986285 that is divisible by both numbers.

Least Common Multiple (LCM) of 2231 and 2235 is 4986285.

LCM(2231,2235) = 4986285

LCM of 2231 and 2235

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

LCM of:
and

Least Common Multiple of 2231 and 2235

LCM of 2231 and 2235 is 4986285

Least common multiple can be found by multiplying the highest exponent prime factors of 2231 and 2235. First we will calculate the prime factors of 2231 and 2235.

Prime Factorization of 2231


23 2231
97 97
1

Prime factors of 2231 are 23,97. Prime factorization of 2231 in exponential form is:

2231 = 231×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2231 and 2235.

LCM(2231,2235) = 31×51×231×971×1491
LCM(2231,2235) = 4986285

Factors of 2231

List of positive integer factors of 2231 that divides 2231 without a remainder.

1, 23, 97, 2231

Factors of 2235

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

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

Least Common Multiple of 2231 and 2235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2231 and 2235, than apply into the LCM equation.

GCF(2231,2235) = 1
LCM(2231,2235) = ( 2231 × 2235) / 1
LCM(2231,2235) = 4986285 / 1
LCM(2231,2235) = 4986285

Properties of LCM 2231 and 2235

(i) The LCM of 2235 and 2231 is associative

LCM of 2231 and 2235 = LCM of 2235 and 2231

Related Least Common Multiples of 2231

Related Least Common Multiples of 2235

Frequently Asked Questions on LCM of 2231 and 2235

1. What is the LCM of 2231 and 2235?

Answer: LCM of 2231 and 2235 is 4986285.

2. What are the Factors of 2231?

Answer: Factors of 2231 are 1, 23, 97, 2231. There are 4 integers that are factors of 2231. The greatest factor of 2231 is 2231.

3. 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.

4. How to Find the LCM of 2231 and 2235?

Answer:

Least Common Multiple of 2231 and 2235 = 4986285

Step 1: Find the prime factorization of 2231

2231 = 23 x 97

Step 2: Find the prime factorization of 2235

2235 = 3 x 5 x 149

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

LCM = 4986285 = 3 x 5 x 23 x 97 x 149

Step 4: Therefore, the least common multiple of 2231 and 2235 is 4986285.