Least Common Multiple of 2235 and 2242

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 2242 the smallest integer that is 5010870 that is divisible by both numbers.

Least Common Multiple (LCM) of 2235 and 2242 is 5010870.

LCM(2235,2242) = 5010870

LCM of 2235 and 2242

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

LCM of:
and

Least Common Multiple of 2235 and 2242

LCM of 2235 and 2242 is 5010870

Least common multiple can be found by multiplying the highest exponent prime factors of 2235 and 2242. First we will calculate the prime factors of 2235 and 2242.

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 2242


2 2242
19 1121
59 59
1

Prime factors of 2242 are 2, 19,59. Prime factorization of 2242 in exponential form is:

2242 = 21×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2235 and 2242.

LCM(2235,2242) = 21×31×51×191×591×1491
LCM(2235,2242) = 5010870

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 2242

List of positive integer factors of 2242 that divides 2242 without a remainder.

1, 2, 19, 38, 59, 118, 1121, 2242

Least Common Multiple of 2235 and 2242 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 2242, than apply into the LCM equation.

GCF(2235,2242) = 1
LCM(2235,2242) = ( 2235 × 2242) / 1
LCM(2235,2242) = 5010870 / 1
LCM(2235,2242) = 5010870

Properties of LCM 2235 and 2242

(i) The LCM of 2242 and 2235 is associative

LCM of 2235 and 2242 = LCM of 2242 and 2235

Related Least Common Multiples of 2235

Related Least Common Multiples of 2242

Frequently Asked Questions on LCM of 2235 and 2242

1. What is the LCM of 2235 and 2242?

Answer: LCM of 2235 and 2242 is 5010870.

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 2242?

Answer: Factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242. There are 8 integers that are factors of 2242. The greatest factor of 2242 is 2242.

4. How to Find the LCM of 2235 and 2242?

Answer:

Least Common Multiple of 2235 and 2242 = 5010870

Step 1: Find the prime factorization of 2235

2235 = 3 x 5 x 149

Step 2: Find the prime factorization of 2242

2242 = 2 x 19 x 59

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

LCM = 5010870 = 2 x 3 x 5 x 19 x 59 x 149

Step 4: Therefore, the least common multiple of 2235 and 2242 is 5010870.