Least Common Multiple of 4343 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 4343 and 4345 the smallest integer that is 18870335 that is divisible by both numbers.

Least Common Multiple (LCM) of 4343 and 4345 is 18870335.

LCM(4343,4345) = 18870335

LCM of 4343 and 4345

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

LCM of:
and

Least Common Multiple of 4343 and 4345

LCM of 4343 and 4345 is 18870335

Least common multiple can be found by multiplying the highest exponent prime factors of 4343 and 4345. First we will calculate the prime factors of 4343 and 4345.

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

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 4343 and 4345.

LCM(4343,4345) = 51×111×431×791×1011
LCM(4343,4345) = 18870335

Factors of 4343

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

1, 43, 101, 4343

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 4343 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 4343 and 4345, than apply into the LCM equation.

GCF(4343,4345) = 1
LCM(4343,4345) = ( 4343 × 4345) / 1
LCM(4343,4345) = 18870335 / 1
LCM(4343,4345) = 18870335

Properties of LCM 4343 and 4345

(i) The LCM of 4345 and 4343 is associative

LCM of 4343 and 4345 = LCM of 4345 and 4343

Related Least Common Multiples of 4343

Related Least Common Multiples of 4345

Frequently Asked Questions on LCM of 4343 and 4345

1. What is the LCM of 4343 and 4345?

Answer: LCM of 4343 and 4345 is 18870335.

2. 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.

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 4343 and 4345?

Answer:

Least Common Multiple of 4343 and 4345 = 18870335

Step 1: Find the prime factorization of 4343

4343 = 43 x 101

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 = 18870335 = 5 x 11 x 43 x 79 x 101

Step 4: Therefore, the least common multiple of 4343 and 4345 is 18870335.