Least Common Multiple of 4233 and 4241

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 4241 the smallest integer that is 17952153 that is divisible by both numbers.

Least Common Multiple (LCM) of 4233 and 4241 is 17952153.

LCM(4233,4241) = 17952153

LCM of 4233 and 4241

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

LCM of:
and

Least Common Multiple of 4233 and 4241

LCM of 4233 and 4241 is 17952153

Least common multiple can be found by multiplying the highest exponent prime factors of 4233 and 4241. First we will calculate the prime factors of 4233 and 4241.

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 4241


4241 4241
1

Prime factors of 4241 are 4241. Prime factorization of 4241 in exponential form is:

4241 = 42411

Now multiplying the highest exponent prime factors to calculate the LCM of 4233 and 4241.

LCM(4233,4241) = 31×171×831×42411
LCM(4233,4241) = 17952153

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 4241

List of positive integer factors of 4241 that divides 4241 without a remainder.

1, 4241

Least Common Multiple of 4233 and 4241 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 4241, than apply into the LCM equation.

GCF(4233,4241) = 1
LCM(4233,4241) = ( 4233 × 4241) / 1
LCM(4233,4241) = 17952153 / 1
LCM(4233,4241) = 17952153

Properties of LCM 4233 and 4241

(i) The LCM of 4241 and 4233 is associative

LCM of 4233 and 4241 = LCM of 4241 and 4233

Related Least Common Multiples of 4233

Related Least Common Multiples of 4241

Frequently Asked Questions on LCM of 4233 and 4241

1. What is the LCM of 4233 and 4241?

Answer: LCM of 4233 and 4241 is 17952153.

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 4241?

Answer: Factors of 4241 are 1, 4241. There are 2 integers that are factors of 4241. The greatest factor of 4241 is 4241.

4. How to Find the LCM of 4233 and 4241?

Answer:

Least Common Multiple of 4233 and 4241 = 17952153

Step 1: Find the prime factorization of 4233

4233 = 3 x 17 x 83

Step 2: Find the prime factorization of 4241

4241 = 4241

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

LCM = 17952153 = 3 x 17 x 83 x 4241

Step 4: Therefore, the least common multiple of 4233 and 4241 is 17952153.