Least Common Multiple of 4335 and 4343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4335 and 4343 the smallest integer that is 18826905 that is divisible by both numbers.

Least Common Multiple (LCM) of 4335 and 4343 is 18826905.

LCM(4335,4343) = 18826905

LCM of 4335 and 4343

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

LCM of:
and

Least Common Multiple of 4335 and 4343

LCM of 4335 and 4343 is 18826905

Least common multiple can be found by multiplying the highest exponent prime factors of 4335 and 4343. First we will calculate the prime factors of 4335 and 4343.

Prime Factorization of 4335


3 4335
5 1445
17 289
17 17
1

Prime factors of 4335 are 3, 5,17. Prime factorization of 4335 in exponential form is:

4335 = 31×51×172

Prime Factorization of 4343


43 4343
101 101
1

Prime factors of 4343 are 43,101. Prime factorization of 4343 in exponential form is:

4343 = 431×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4335 and 4343.

LCM(4335,4343) = 31×51×172×431×1011
LCM(4335,4343) = 18826905

Factors of 4335

List of positive integer factors of 4335 that divides 4335 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335

Factors of 4343

List of positive integer factors of 4343 that divides 4343 without a remainder.

1, 43, 101, 4343

Least Common Multiple of 4335 and 4343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4335 and 4343, than apply into the LCM equation.

GCF(4335,4343) = 1
LCM(4335,4343) = ( 4335 × 4343) / 1
LCM(4335,4343) = 18826905 / 1
LCM(4335,4343) = 18826905

Properties of LCM 4335 and 4343

(i) The LCM of 4343 and 4335 is associative

LCM of 4335 and 4343 = LCM of 4343 and 4335

Related Least Common Multiples of 4335

Related Least Common Multiples of 4343

Frequently Asked Questions on LCM of 4335 and 4343

1. What is the LCM of 4335 and 4343?

Answer: LCM of 4335 and 4343 is 18826905.

2. What are the Factors of 4335?

Answer: Factors of 4335 are 1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335. There are 12 integers that are factors of 4335. The greatest factor of 4335 is 4335.

3. What are the Factors of 4343?

Answer: Factors of 4343 are 1, 43, 101, 4343. There are 4 integers that are factors of 4343. The greatest factor of 4343 is 4343.

4. How to Find the LCM of 4335 and 4343?

Answer:

Least Common Multiple of 4335 and 4343 = 18826905

Step 1: Find the prime factorization of 4335

4335 = 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 4343

4343 = 43 x 101

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

LCM = 18826905 = 3 x 5 x 17 x 17 x 43 x 101

Step 4: Therefore, the least common multiple of 4335 and 4343 is 18826905.