Least Common Multiple of 2242 and 2244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2242 and 2244 the smallest integer that is 2515524 that is divisible by both numbers.

Least Common Multiple (LCM) of 2242 and 2244 is 2515524.

LCM(2242,2244) = 2515524

LCM of 2242 and 2244

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

LCM of:
and

Least Common Multiple of 2242 and 2244

LCM of 2242 and 2244 is 2515524

Least common multiple can be found by multiplying the highest exponent prime factors of 2242 and 2244. First we will calculate the prime factors of 2242 and 2244.

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

Prime Factorization of 2244


2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 2244 are 2, 3, 11,17. Prime factorization of 2244 in exponential form is:

2244 = 22×31×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2242 and 2244.

LCM(2242,2244) = 22×31×111×171×191×591
LCM(2242,2244) = 2515524

Factors of 2242

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

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

Factors of 2244

List of positive integer factors of 2244 that divides 2244 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244

Least Common Multiple of 2242 and 2244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2242 and 2244, than apply into the LCM equation.

GCF(2242,2244) = 2
LCM(2242,2244) = ( 2242 × 2244) / 2
LCM(2242,2244) = 5031048 / 2
LCM(2242,2244) = 2515524

Properties of LCM 2242 and 2244

(i) The LCM of 2244 and 2242 is associative

LCM of 2242 and 2244 = LCM of 2244 and 2242

Related Least Common Multiples of 2242

Related Least Common Multiples of 2244

Frequently Asked Questions on LCM of 2242 and 2244

1. What is the LCM of 2242 and 2244?

Answer: LCM of 2242 and 2244 is 2515524.

2. 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.

3. What are the Factors of 2244?

Answer: Factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244. There are 24 integers that are factors of 2244. The greatest factor of 2244 is 2244.

4. How to Find the LCM of 2242 and 2244?

Answer:

Least Common Multiple of 2242 and 2244 = 2515524

Step 1: Find the prime factorization of 2242

2242 = 2 x 19 x 59

Step 2: Find the prime factorization of 2244

2244 = 2 x 2 x 3 x 11 x 17

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

LCM = 2515524 = 2 x 2 x 3 x 11 x 17 x 19 x 59

Step 4: Therefore, the least common multiple of 2242 and 2244 is 2515524.