Least Common Multiple of 238 and 246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 238 and 246 the smallest integer that is 29274 that is divisible by both numbers.

Least Common Multiple (LCM) of 238 and 246 is 29274.

LCM(238,246) = 29274

LCM of 238 and 246

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

LCM of:
and

Least Common Multiple of 238 and 246

LCM of 238 and 246 is 29274

Least common multiple can be found by multiplying the highest exponent prime factors of 238 and 246. First we will calculate the prime factors of 238 and 246.

Prime Factorization of 238


2 238
7 119
17 17
1

Prime factors of 238 are 2, 7,17. Prime factorization of 238 in exponential form is:

238 = 21×71×171

Prime Factorization of 246


2 246
3 123
41 41
1

Prime factors of 246 are 2, 3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 238 and 246.

LCM(238,246) = 21×31×71×171×411
LCM(238,246) = 29274

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Least Common Multiple of 238 and 246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 246, than apply into the LCM equation.

GCF(238,246) = 2
LCM(238,246) = ( 238 × 246) / 2
LCM(238,246) = 58548 / 2
LCM(238,246) = 29274

Properties of LCM 238 and 246

(i) The LCM of 246 and 238 is associative

LCM of 238 and 246 = LCM of 246 and 238

Related Least Common Multiples of 238

Related Least Common Multiples of 246

Frequently Asked Questions on LCM of 238 and 246

1. What is the LCM of 238 and 246?

Answer: LCM of 238 and 246 is 29274.

2. What are the Factors of 238?

Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.

3. What are the Factors of 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

4. How to Find the LCM of 238 and 246?

Answer:

Least Common Multiple of 238 and 246 = 29274

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 246

246 = 2 x 3 x 41

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

LCM = 29274 = 2 x 3 x 7 x 17 x 41

Step 4: Therefore, the least common multiple of 238 and 246 is 29274.