Least Common Multiple of 4306 and 4310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4306 and 4310 the smallest integer that is 9279430 that is divisible by both numbers.

Least Common Multiple (LCM) of 4306 and 4310 is 9279430.

LCM(4306,4310) = 9279430

LCM of 4306 and 4310

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

LCM of:
and

Least Common Multiple of 4306 and 4310

LCM of 4306 and 4310 is 9279430

Least common multiple can be found by multiplying the highest exponent prime factors of 4306 and 4310. First we will calculate the prime factors of 4306 and 4310.

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

Prime Factorization of 4310


2 4310
5 2155
431 431
1

Prime factors of 4310 are 2, 5,431. Prime factorization of 4310 in exponential form is:

4310 = 21×51×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 4306 and 4310.

LCM(4306,4310) = 21×51×4311×21531
LCM(4306,4310) = 9279430

Factors of 4306

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

1, 2, 2153, 4306

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1, 2, 5, 10, 431, 862, 2155, 4310

Least Common Multiple of 4306 and 4310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4306 and 4310, than apply into the LCM equation.

GCF(4306,4310) = 2
LCM(4306,4310) = ( 4306 × 4310) / 2
LCM(4306,4310) = 18558860 / 2
LCM(4306,4310) = 9279430

Properties of LCM 4306 and 4310

(i) The LCM of 4310 and 4306 is associative

LCM of 4306 and 4310 = LCM of 4310 and 4306

Related Least Common Multiples of 4306

Related Least Common Multiples of 4310

Frequently Asked Questions on LCM of 4306 and 4310

1. What is the LCM of 4306 and 4310?

Answer: LCM of 4306 and 4310 is 9279430.

2. 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.

3. What are the Factors of 4310?

Answer: Factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310. There are 8 integers that are factors of 4310. The greatest factor of 4310 is 4310.

4. How to Find the LCM of 4306 and 4310?

Answer:

Least Common Multiple of 4306 and 4310 = 9279430

Step 1: Find the prime factorization of 4306

4306 = 2 x 2153

Step 2: Find the prime factorization of 4310

4310 = 2 x 5 x 431

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

LCM = 9279430 = 2 x 5 x 431 x 2153

Step 4: Therefore, the least common multiple of 4306 and 4310 is 9279430.