Least Common Multiple of 4305 and 4306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4305 and 4306 the smallest integer that is 18537330 that is divisible by both numbers.

Least Common Multiple (LCM) of 4305 and 4306 is 18537330.

LCM(4305,4306) = 18537330

LCM of 4305 and 4306

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

LCM of:
and

Least Common Multiple of 4305 and 4306

LCM of 4305 and 4306 is 18537330

Least common multiple can be found by multiplying the highest exponent prime factors of 4305 and 4306. First we will calculate the prime factors of 4305 and 4306.

Prime Factorization of 4305


3 4305
5 1435
7 287
41 41
1

Prime factors of 4305 are 3, 5, 7,41. Prime factorization of 4305 in exponential form is:

4305 = 31×51×71×411

Prime Factorization of 4306


2 4306
2153 2153
1

Prime factors of 4306 are 2,2153. Prime factorization of 4306 in exponential form is:

4306 = 21×21531

Now multiplying the highest exponent prime factors to calculate the LCM of 4305 and 4306.

LCM(4305,4306) = 21×31×51×71×411×21531
LCM(4305,4306) = 18537330

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305

Factors of 4306

List of positive integer factors of 4306 that divides 4306 without a remainder.

1, 2, 2153, 4306

Least Common Multiple of 4305 and 4306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4305 and 4306, than apply into the LCM equation.

GCF(4305,4306) = 1
LCM(4305,4306) = ( 4305 × 4306) / 1
LCM(4305,4306) = 18537330 / 1
LCM(4305,4306) = 18537330

Properties of LCM 4305 and 4306

(i) The LCM of 4306 and 4305 is associative

LCM of 4305 and 4306 = LCM of 4306 and 4305

Related Least Common Multiples of 4305

Related Least Common Multiples of 4306

Frequently Asked Questions on LCM of 4305 and 4306

1. What is the LCM of 4305 and 4306?

Answer: LCM of 4305 and 4306 is 18537330.

2. What are the Factors of 4305?

Answer: Factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305. There are 16 integers that are factors of 4305. The greatest factor of 4305 is 4305.

3. What are the Factors of 4306?

Answer: Factors of 4306 are 1, 2, 2153, 4306. There are 4 integers that are factors of 4306. The greatest factor of 4306 is 4306.

4. How to Find the LCM of 4305 and 4306?

Answer:

Least Common Multiple of 4305 and 4306 = 18537330

Step 1: Find the prime factorization of 4305

4305 = 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 4306

4306 = 2 x 2153

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

LCM = 18537330 = 2 x 3 x 5 x 7 x 41 x 2153

Step 4: Therefore, the least common multiple of 4305 and 4306 is 18537330.