Least Common Multiple of 236 and 242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 236 and 242 the smallest integer that is 28556 that is divisible by both numbers.

Least Common Multiple (LCM) of 236 and 242 is 28556.

LCM(236,242) = 28556

LCM of 236 and 242

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

LCM of:
and

Least Common Multiple of 236 and 242

LCM of 236 and 242 is 28556

Least common multiple can be found by multiplying the highest exponent prime factors of 236 and 242. First we will calculate the prime factors of 236 and 242.

Prime Factorization of 236


2 236
2 118
59 59
1

Prime factors of 236 are 2,59. Prime factorization of 236 in exponential form is:

236 = 22×591

Prime Factorization of 242


2 242
11 121
11 11
1

Prime factors of 242 are 2,11. Prime factorization of 242 in exponential form is:

242 = 21×112

Now multiplying the highest exponent prime factors to calculate the LCM of 236 and 242.

LCM(236,242) = 22×112×591
LCM(236,242) = 28556

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Least Common Multiple of 236 and 242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 236 and 242, than apply into the LCM equation.

GCF(236,242) = 2
LCM(236,242) = ( 236 × 242) / 2
LCM(236,242) = 57112 / 2
LCM(236,242) = 28556

Properties of LCM 236 and 242

(i) The LCM of 242 and 236 is associative

LCM of 236 and 242 = LCM of 242 and 236

Related Least Common Multiples of 236

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 236 and 242

1. What is the LCM of 236 and 242?

Answer: LCM of 236 and 242 is 28556.

2. What are the Factors of 236?

Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.

3. What are the Factors of 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

4. How to Find the LCM of 236 and 242?

Answer:

Least Common Multiple of 236 and 242 = 28556

Step 1: Find the prime factorization of 236

236 = 2 x 2 x 59

Step 2: Find the prime factorization of 242

242 = 2 x 11 x 11

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

LCM = 28556 = 2 x 2 x 11 x 11 x 59

Step 4: Therefore, the least common multiple of 236 and 242 is 28556.