Least Common Multiple of 4340 and 4345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4340 and 4345 the smallest integer that is 3771460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4340 and 4345 is 3771460.

LCM(4340,4345) = 3771460

LCM of 4340 and 4345

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

LCM of:
and

Least Common Multiple of 4340 and 4345

LCM of 4340 and 4345 is 3771460

Least common multiple can be found by multiplying the highest exponent prime factors of 4340 and 4345. First we will calculate the prime factors of 4340 and 4345.

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

Prime Factorization of 4345


5 4345
11 869
79 79
1

Prime factors of 4345 are 5, 11,79. Prime factorization of 4345 in exponential form is:

4345 = 51×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4340 and 4345.

LCM(4340,4345) = 22×51×71×111×311×791
LCM(4340,4345) = 3771460

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

Factors of 4345

List of positive integer factors of 4345 that divides 4345 without a remainder.

1, 5, 11, 55, 79, 395, 869, 4345

Least Common Multiple of 4340 and 4345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4340 and 4345, than apply into the LCM equation.

GCF(4340,4345) = 5
LCM(4340,4345) = ( 4340 × 4345) / 5
LCM(4340,4345) = 18857300 / 5
LCM(4340,4345) = 3771460

Properties of LCM 4340 and 4345

(i) The LCM of 4345 and 4340 is associative

LCM of 4340 and 4345 = LCM of 4345 and 4340

Related Least Common Multiples of 4340

Related Least Common Multiples of 4345

Frequently Asked Questions on LCM of 4340 and 4345

1. What is the LCM of 4340 and 4345?

Answer: LCM of 4340 and 4345 is 3771460.

2. 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.

3. What are the Factors of 4345?

Answer: Factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345. There are 8 integers that are factors of 4345. The greatest factor of 4345 is 4345.

4. How to Find the LCM of 4340 and 4345?

Answer:

Least Common Multiple of 4340 and 4345 = 3771460

Step 1: Find the prime factorization of 4340

4340 = 2 x 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 4345

4345 = 5 x 11 x 79

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

LCM = 3771460 = 2 x 2 x 5 x 7 x 11 x 31 x 79

Step 4: Therefore, the least common multiple of 4340 and 4345 is 3771460.