Least Common Multiple of 6298 and 6303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6298 and 6303 the smallest integer that is 39696294 that is divisible by both numbers.

Least Common Multiple (LCM) of 6298 and 6303 is 39696294.

LCM(6298,6303) = 39696294

LCM of 6298 and 6303

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

LCM of:
and

Least Common Multiple of 6298 and 6303

LCM of 6298 and 6303 is 39696294

Least common multiple can be found by multiplying the highest exponent prime factors of 6298 and 6303. First we will calculate the prime factors of 6298 and 6303.

Prime Factorization of 6298


2 6298
47 3149
67 67
1

Prime factors of 6298 are 2, 47,67. Prime factorization of 6298 in exponential form is:

6298 = 21×471×671

Prime Factorization of 6303


3 6303
11 2101
191 191
1

Prime factors of 6303 are 3, 11,191. Prime factorization of 6303 in exponential form is:

6303 = 31×111×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6298 and 6303.

LCM(6298,6303) = 21×31×111×471×671×1911
LCM(6298,6303) = 39696294

Factors of 6298

List of positive integer factors of 6298 that divides 6298 without a remainder.

1, 2, 47, 67, 94, 134, 3149, 6298

Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1, 3, 11, 33, 191, 573, 2101, 6303

Least Common Multiple of 6298 and 6303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6298 and 6303, than apply into the LCM equation.

GCF(6298,6303) = 1
LCM(6298,6303) = ( 6298 × 6303) / 1
LCM(6298,6303) = 39696294 / 1
LCM(6298,6303) = 39696294

Properties of LCM 6298 and 6303

(i) The LCM of 6303 and 6298 is associative

LCM of 6298 and 6303 = LCM of 6303 and 6298

Related Least Common Multiples of 6298

Related Least Common Multiples of 6303

Frequently Asked Questions on LCM of 6298 and 6303

1. What is the LCM of 6298 and 6303?

Answer: LCM of 6298 and 6303 is 39696294.

2. What are the Factors of 6298?

Answer: Factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298. There are 8 integers that are factors of 6298. The greatest factor of 6298 is 6298.

3. What are the Factors of 6303?

Answer: Factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303. There are 8 integers that are factors of 6303. The greatest factor of 6303 is 6303.

4. How to Find the LCM of 6298 and 6303?

Answer:

Least Common Multiple of 6298 and 6303 = 39696294

Step 1: Find the prime factorization of 6298

6298 = 2 x 47 x 67

Step 2: Find the prime factorization of 6303

6303 = 3 x 11 x 191

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

LCM = 39696294 = 2 x 3 x 11 x 47 x 67 x 191

Step 4: Therefore, the least common multiple of 6298 and 6303 is 39696294.