Least Common Multiple of 4333 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 4333 and 4340 the smallest integer that is 2686460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4333 and 4340 is 2686460.

LCM(4333,4340) = 2686460

LCM of 4333 and 4340

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

LCM of:
and

Least Common Multiple of 4333 and 4340

LCM of 4333 and 4340 is 2686460

Least common multiple can be found by multiplying the highest exponent prime factors of 4333 and 4340. First we will calculate the prime factors of 4333 and 4340.

Prime Factorization of 4333


7 4333
619 619
1

Prime factors of 4333 are 7,619. Prime factorization of 4333 in exponential form is:

4333 = 71×6191

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 4333 and 4340.

LCM(4333,4340) = 22×51×71×311×6191
LCM(4333,4340) = 2686460

Factors of 4333

List of positive integer factors of 4333 that divides 4333 without a remainder.

1, 7, 619, 4333

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 4333 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 4333 and 4340, than apply into the LCM equation.

GCF(4333,4340) = 7
LCM(4333,4340) = ( 4333 × 4340) / 7
LCM(4333,4340) = 18805220 / 7
LCM(4333,4340) = 2686460

Properties of LCM 4333 and 4340

(i) The LCM of 4340 and 4333 is associative

LCM of 4333 and 4340 = LCM of 4340 and 4333

Related Least Common Multiples of 4333

Related Least Common Multiples of 4340

Frequently Asked Questions on LCM of 4333 and 4340

1. What is the LCM of 4333 and 4340?

Answer: LCM of 4333 and 4340 is 2686460.

2. What are the Factors of 4333?

Answer: Factors of 4333 are 1, 7, 619, 4333. There are 4 integers that are factors of 4333. The greatest factor of 4333 is 4333.

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 4333 and 4340?

Answer:

Least Common Multiple of 4333 and 4340 = 2686460

Step 1: Find the prime factorization of 4333

4333 = 7 x 619

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 = 2686460 = 2 x 2 x 5 x 7 x 31 x 619

Step 4: Therefore, the least common multiple of 4333 and 4340 is 2686460.