Least Common Multiple of 228 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 228 and 236 the smallest integer that is 13452 that is divisible by both numbers.

Least Common Multiple (LCM) of 228 and 236 is 13452.

LCM(228,236) = 13452

LCM of 228 and 236

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

LCM of:
and

Least Common Multiple of 228 and 236

LCM of 228 and 236 is 13452

Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 236. First we will calculate the prime factors of 228 and 236.

Prime Factorization of 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2, 3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

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 228 and 236.

LCM(228,236) = 22×31×191×591
LCM(228,236) = 13452

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 228 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 228 and 236, than apply into the LCM equation.

GCF(228,236) = 4
LCM(228,236) = ( 228 × 236) / 4
LCM(228,236) = 53808 / 4
LCM(228,236) = 13452

Properties of LCM 228 and 236

(i) The LCM of 236 and 228 is associative

LCM of 228 and 236 = LCM of 236 and 228

Related Least Common Multiples of 228

Related Least Common Multiples of 236

Frequently Asked Questions on LCM of 228 and 236

1. What is the LCM of 228 and 236?

Answer: LCM of 228 and 236 is 13452.

2. What are the Factors of 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

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 228 and 236?

Answer:

Least Common Multiple of 228 and 236 = 13452

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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 = 13452 = 2 x 2 x 3 x 19 x 59

Step 4: Therefore, the least common multiple of 228 and 236 is 13452.