Least Common Multiple of 2238 and 2246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2238 and 2246 the smallest integer that is 2513274 that is divisible by both numbers.

Least Common Multiple (LCM) of 2238 and 2246 is 2513274.

LCM(2238,2246) = 2513274

LCM of 2238 and 2246

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

LCM of:
and

Least Common Multiple of 2238 and 2246

LCM of 2238 and 2246 is 2513274

Least common multiple can be found by multiplying the highest exponent prime factors of 2238 and 2246. First we will calculate the prime factors of 2238 and 2246.

Prime Factorization of 2238


2 2238
3 1119
373 373
1

Prime factors of 2238 are 2, 3,373. Prime factorization of 2238 in exponential form is:

2238 = 21×31×3731

Prime Factorization of 2246


2 2246
1123 1123
1

Prime factors of 2246 are 2,1123. Prime factorization of 2246 in exponential form is:

2246 = 21×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 2238 and 2246.

LCM(2238,2246) = 21×31×3731×11231
LCM(2238,2246) = 2513274

Factors of 2238

List of positive integer factors of 2238 that divides 2238 without a remainder.

1, 2, 3, 6, 373, 746, 1119, 2238

Factors of 2246

List of positive integer factors of 2246 that divides 2246 without a remainder.

1, 2, 1123, 2246

Least Common Multiple of 2238 and 2246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2238 and 2246, than apply into the LCM equation.

GCF(2238,2246) = 2
LCM(2238,2246) = ( 2238 × 2246) / 2
LCM(2238,2246) = 5026548 / 2
LCM(2238,2246) = 2513274

Properties of LCM 2238 and 2246

(i) The LCM of 2246 and 2238 is associative

LCM of 2238 and 2246 = LCM of 2246 and 2238

Related Least Common Multiples of 2238

Related Least Common Multiples of 2246

Frequently Asked Questions on LCM of 2238 and 2246

1. What is the LCM of 2238 and 2246?

Answer: LCM of 2238 and 2246 is 2513274.

2. What are the Factors of 2238?

Answer: Factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238. There are 8 integers that are factors of 2238. The greatest factor of 2238 is 2238.

3. What are the Factors of 2246?

Answer: Factors of 2246 are 1, 2, 1123, 2246. There are 4 integers that are factors of 2246. The greatest factor of 2246 is 2246.

4. How to Find the LCM of 2238 and 2246?

Answer:

Least Common Multiple of 2238 and 2246 = 2513274

Step 1: Find the prime factorization of 2238

2238 = 2 x 3 x 373

Step 2: Find the prime factorization of 2246

2246 = 2 x 1123

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

LCM = 2513274 = 2 x 3 x 373 x 1123

Step 4: Therefore, the least common multiple of 2238 and 2246 is 2513274.