Least Common Multiple of 4233 and 4239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4233 and 4239 the smallest integer that is 5981229 that is divisible by both numbers.

Least Common Multiple (LCM) of 4233 and 4239 is 5981229.

LCM(4233,4239) = 5981229

LCM of 4233 and 4239

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

LCM of:
and

Least Common Multiple of 4233 and 4239

LCM of 4233 and 4239 is 5981229

Least common multiple can be found by multiplying the highest exponent prime factors of 4233 and 4239. First we will calculate the prime factors of 4233 and 4239.

Prime Factorization of 4233


3 4233
17 1411
83 83
1

Prime factors of 4233 are 3, 17,83. Prime factorization of 4233 in exponential form is:

4233 = 31×171×831

Prime Factorization of 4239


3 4239
3 1413
3 471
157 157
1

Prime factors of 4239 are 3,157. Prime factorization of 4239 in exponential form is:

4239 = 33×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4233 and 4239.

LCM(4233,4239) = 33×171×831×1571
LCM(4233,4239) = 5981229

Factors of 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1, 3, 17, 51, 83, 249, 1411, 4233

Factors of 4239

List of positive integer factors of 4239 that divides 4239 without a remainder.

1, 3, 9, 27, 157, 471, 1413, 4239

Least Common Multiple of 4233 and 4239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4233 and 4239, than apply into the LCM equation.

GCF(4233,4239) = 3
LCM(4233,4239) = ( 4233 × 4239) / 3
LCM(4233,4239) = 17943687 / 3
LCM(4233,4239) = 5981229

Properties of LCM 4233 and 4239

(i) The LCM of 4239 and 4233 is associative

LCM of 4233 and 4239 = LCM of 4239 and 4233

Related Least Common Multiples of 4233

Related Least Common Multiples of 4239

Frequently Asked Questions on LCM of 4233 and 4239

1. What is the LCM of 4233 and 4239?

Answer: LCM of 4233 and 4239 is 5981229.

2. What are the Factors of 4233?

Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.

3. What are the Factors of 4239?

Answer: Factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239. There are 8 integers that are factors of 4239. The greatest factor of 4239 is 4239.

4. How to Find the LCM of 4233 and 4239?

Answer:

Least Common Multiple of 4233 and 4239 = 5981229

Step 1: Find the prime factorization of 4233

4233 = 3 x 17 x 83

Step 2: Find the prime factorization of 4239

4239 = 3 x 3 x 3 x 157

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

LCM = 5981229 = 3 x 3 x 3 x 17 x 83 x 157

Step 4: Therefore, the least common multiple of 4233 and 4239 is 5981229.