Least Common Multiple of 229 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 229 and 236 the smallest integer that is 54044 that is divisible by both numbers.

Least Common Multiple (LCM) of 229 and 236 is 54044.

LCM(229,236) = 54044

LCM of 229 and 236

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

LCM of:
and

Least Common Multiple of 229 and 236

LCM of 229 and 236 is 54044

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 236. First we will calculate the prime factors of 229 and 236.

Prime Factorization of 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

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 229 and 236.

LCM(229,236) = 22×591×2291
LCM(229,236) = 54044

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1, 229

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 229 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 229 and 236, than apply into the LCM equation.

GCF(229,236) = 1
LCM(229,236) = ( 229 × 236) / 1
LCM(229,236) = 54044 / 1
LCM(229,236) = 54044

Properties of LCM 229 and 236

(i) The LCM of 236 and 229 is associative

LCM of 229 and 236 = LCM of 236 and 229

Related Least Common Multiples of 229

Related Least Common Multiples of 236

Frequently Asked Questions on LCM of 229 and 236

1. What is the LCM of 229 and 236?

Answer: LCM of 229 and 236 is 54044.

2. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

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 229 and 236?

Answer:

Least Common Multiple of 229 and 236 = 54044

Step 1: Find the prime factorization of 229

229 = 229

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 = 54044 = 2 x 2 x 59 x 229

Step 4: Therefore, the least common multiple of 229 and 236 is 54044.