Least Common Multiple of 4335 and 4340

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 4340 the smallest integer that is 3762780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4335 and 4340 is 3762780.

LCM(4335,4340) = 3762780

LCM of 4335 and 4340

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

LCM of:
and

Least Common Multiple of 4335 and 4340

LCM of 4335 and 4340 is 3762780

Least common multiple can be found by multiplying the highest exponent prime factors of 4335 and 4340. First we will calculate the prime factors of 4335 and 4340.

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 4340


2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 4340 are 2, 5, 7,31. Prime factorization of 4340 in exponential form is:

4340 = 22×51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4335 and 4340.

LCM(4335,4340) = 22×31×51×71×172×311
LCM(4335,4340) = 3762780

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 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340

Least Common Multiple of 4335 and 4340 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 4340, than apply into the LCM equation.

GCF(4335,4340) = 5
LCM(4335,4340) = ( 4335 × 4340) / 5
LCM(4335,4340) = 18813900 / 5
LCM(4335,4340) = 3762780

Properties of LCM 4335 and 4340

(i) The LCM of 4340 and 4335 is associative

LCM of 4335 and 4340 = LCM of 4340 and 4335

Related Least Common Multiples of 4335

Related Least Common Multiples of 4340

Frequently Asked Questions on LCM of 4335 and 4340

1. What is the LCM of 4335 and 4340?

Answer: LCM of 4335 and 4340 is 3762780.

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 4340?

Answer: Factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340. There are 24 integers that are factors of 4340. The greatest factor of 4340 is 4340.

4. How to Find the LCM of 4335 and 4340?

Answer:

Least Common Multiple of 4335 and 4340 = 3762780

Step 1: Find the prime factorization of 4335

4335 = 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 4340

4340 = 2 x 2 x 5 x 7 x 31

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

LCM = 3762780 = 2 x 2 x 3 x 5 x 7 x 17 x 17 x 31

Step 4: Therefore, the least common multiple of 4335 and 4340 is 3762780.