Least Common Multiple of 2235 and 2239

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 2239 the smallest integer that is 5004165 that is divisible by both numbers.

Least Common Multiple (LCM) of 2235 and 2239 is 5004165.

LCM(2235,2239) = 5004165

LCM of 2235 and 2239

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

LCM of:
and

Least Common Multiple of 2235 and 2239

LCM of 2235 and 2239 is 5004165

Least common multiple can be found by multiplying the highest exponent prime factors of 2235 and 2239. First we will calculate the prime factors of 2235 and 2239.

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 2239


2239 2239
1

Prime factors of 2239 are 2239. Prime factorization of 2239 in exponential form is:

2239 = 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 2235 and 2239.

LCM(2235,2239) = 31×51×1491×22391
LCM(2235,2239) = 5004165

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 2239

List of positive integer factors of 2239 that divides 2239 without a remainder.

1, 2239

Least Common Multiple of 2235 and 2239 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 2239, than apply into the LCM equation.

GCF(2235,2239) = 1
LCM(2235,2239) = ( 2235 × 2239) / 1
LCM(2235,2239) = 5004165 / 1
LCM(2235,2239) = 5004165

Properties of LCM 2235 and 2239

(i) The LCM of 2239 and 2235 is associative

LCM of 2235 and 2239 = LCM of 2239 and 2235

Related Least Common Multiples of 2235

Related Least Common Multiples of 2239

Frequently Asked Questions on LCM of 2235 and 2239

1. What is the LCM of 2235 and 2239?

Answer: LCM of 2235 and 2239 is 5004165.

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 2239?

Answer: Factors of 2239 are 1, 2239. There are 2 integers that are factors of 2239. The greatest factor of 2239 is 2239.

4. How to Find the LCM of 2235 and 2239?

Answer:

Least Common Multiple of 2235 and 2239 = 5004165

Step 1: Find the prime factorization of 2235

2235 = 3 x 5 x 149

Step 2: Find the prime factorization of 2239

2239 = 2239

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

LCM = 5004165 = 3 x 5 x 149 x 2239

Step 4: Therefore, the least common multiple of 2235 and 2239 is 5004165.