Least Common Multiple of 4235 and 4243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4235 and 4243 the smallest integer that is 17969105 that is divisible by both numbers.

Least Common Multiple (LCM) of 4235 and 4243 is 17969105.

LCM(4235,4243) = 17969105

LCM of 4235 and 4243

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

LCM of:
and

Least Common Multiple of 4235 and 4243

LCM of 4235 and 4243 is 17969105

Least common multiple can be found by multiplying the highest exponent prime factors of 4235 and 4243. First we will calculate the prime factors of 4235 and 4243.

Prime Factorization of 4235


5 4235
7 847
11 121
11 11
1

Prime factors of 4235 are 5, 7,11. Prime factorization of 4235 in exponential form is:

4235 = 51×71×112

Prime Factorization of 4243


4243 4243
1

Prime factors of 4243 are 4243. Prime factorization of 4243 in exponential form is:

4243 = 42431

Now multiplying the highest exponent prime factors to calculate the LCM of 4235 and 4243.

LCM(4235,4243) = 51×71×112×42431
LCM(4235,4243) = 17969105

Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235

Factors of 4243

List of positive integer factors of 4243 that divides 4243 without a remainder.

1, 4243

Least Common Multiple of 4235 and 4243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4235 and 4243, than apply into the LCM equation.

GCF(4235,4243) = 1
LCM(4235,4243) = ( 4235 × 4243) / 1
LCM(4235,4243) = 17969105 / 1
LCM(4235,4243) = 17969105

Properties of LCM 4235 and 4243

(i) The LCM of 4243 and 4235 is associative

LCM of 4235 and 4243 = LCM of 4243 and 4235

Related Least Common Multiples of 4235

Related Least Common Multiples of 4243

Frequently Asked Questions on LCM of 4235 and 4243

1. What is the LCM of 4235 and 4243?

Answer: LCM of 4235 and 4243 is 17969105.

2. What are the Factors of 4235?

Answer: Factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235. There are 12 integers that are factors of 4235. The greatest factor of 4235 is 4235.

3. What are the Factors of 4243?

Answer: Factors of 4243 are 1, 4243. There are 2 integers that are factors of 4243. The greatest factor of 4243 is 4243.

4. How to Find the LCM of 4235 and 4243?

Answer:

Least Common Multiple of 4235 and 4243 = 17969105

Step 1: Find the prime factorization of 4235

4235 = 5 x 7 x 11 x 11

Step 2: Find the prime factorization of 4243

4243 = 4243

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

LCM = 17969105 = 5 x 7 x 11 x 11 x 4243

Step 4: Therefore, the least common multiple of 4235 and 4243 is 17969105.