Least Common Multiple of 231 and 236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 231 and 236 the smallest integer that is 54516 that is divisible by both numbers.

Least Common Multiple (LCM) of 231 and 236 is 54516.

LCM(231,236) = 54516

LCM of 231 and 236

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

LCM of:
and

Least Common Multiple of 231 and 236

LCM of 231 and 236 is 54516

Least common multiple can be found by multiplying the highest exponent prime factors of 231 and 236. First we will calculate the prime factors of 231 and 236.

Prime Factorization of 231


3 231
7 77
11 11
1

Prime factors of 231 are 3, 7,11. Prime factorization of 231 in exponential form is:

231 = 31×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 231 and 236.

LCM(231,236) = 22×31×71×111×591
LCM(231,236) = 54516

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Factors of 236

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

1, 2, 4, 59, 118, 236

Least Common Multiple of 231 and 236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 231 and 236, than apply into the LCM equation.

GCF(231,236) = 1
LCM(231,236) = ( 231 × 236) / 1
LCM(231,236) = 54516 / 1
LCM(231,236) = 54516

Properties of LCM 231 and 236

(i) The LCM of 236 and 231 is associative

LCM of 231 and 236 = LCM of 236 and 231

Related Least Common Multiples of 231

Related Least Common Multiples of 236

Frequently Asked Questions on LCM of 231 and 236

1. What is the LCM of 231 and 236?

Answer: LCM of 231 and 236 is 54516.

2. What are the Factors of 231?

Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.

3. 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.

4. How to Find the LCM of 231 and 236?

Answer:

Least Common Multiple of 231 and 236 = 54516

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 236

236 = 2 x 2 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 = 54516 = 2 x 2 x 3 x 7 x 11 x 59

Step 4: Therefore, the least common multiple of 231 and 236 is 54516.