Least Common Multiple of 4298 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 4298 and 4306 the smallest integer that is 9253594 that is divisible by both numbers.

Least Common Multiple (LCM) of 4298 and 4306 is 9253594.

LCM(4298,4306) = 9253594

LCM of 4298 and 4306

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

LCM of:
and

Least Common Multiple of 4298 and 4306

LCM of 4298 and 4306 is 9253594

Least common multiple can be found by multiplying the highest exponent prime factors of 4298 and 4306. First we will calculate the prime factors of 4298 and 4306.

Prime Factorization of 4298


2 4298
7 2149
307 307
1

Prime factors of 4298 are 2, 7,307. Prime factorization of 4298 in exponential form is:

4298 = 21×71×3071

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 4298 and 4306.

LCM(4298,4306) = 21×71×3071×21531
LCM(4298,4306) = 9253594

Factors of 4298

List of positive integer factors of 4298 that divides 4298 without a remainder.

1, 2, 7, 14, 307, 614, 2149, 4298

Factors of 4306

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

1, 2, 2153, 4306

Least Common Multiple of 4298 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 4298 and 4306, than apply into the LCM equation.

GCF(4298,4306) = 2
LCM(4298,4306) = ( 4298 × 4306) / 2
LCM(4298,4306) = 18507188 / 2
LCM(4298,4306) = 9253594

Properties of LCM 4298 and 4306

(i) The LCM of 4306 and 4298 is associative

LCM of 4298 and 4306 = LCM of 4306 and 4298

Related Least Common Multiples of 4298

Related Least Common Multiples of 4306

Frequently Asked Questions on LCM of 4298 and 4306

1. What is the LCM of 4298 and 4306?

Answer: LCM of 4298 and 4306 is 9253594.

2. What are the Factors of 4298?

Answer: Factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298. There are 8 integers that are factors of 4298. The greatest factor of 4298 is 4298.

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 4298 and 4306?

Answer:

Least Common Multiple of 4298 and 4306 = 9253594

Step 1: Find the prime factorization of 4298

4298 = 2 x 7 x 307

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 = 9253594 = 2 x 7 x 307 x 2153

Step 4: Therefore, the least common multiple of 4298 and 4306 is 9253594.