Least Common Multiple of 6298 and 6302

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 6302 the smallest integer that is 19844998 that is divisible by both numbers.

Least Common Multiple (LCM) of 6298 and 6302 is 19844998.

LCM(6298,6302) = 19844998

LCM of 6298 and 6302

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

LCM of:
and

Least Common Multiple of 6298 and 6302

LCM of 6298 and 6302 is 19844998

Least common multiple can be found by multiplying the highest exponent prime factors of 6298 and 6302. First we will calculate the prime factors of 6298 and 6302.

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 6302


2 6302
23 3151
137 137
1

Prime factors of 6302 are 2, 23,137. Prime factorization of 6302 in exponential form is:

6302 = 21×231×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6298 and 6302.

LCM(6298,6302) = 21×231×471×671×1371
LCM(6298,6302) = 19844998

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 6302

List of positive integer factors of 6302 that divides 6302 without a remainder.

1, 2, 23, 46, 137, 274, 3151, 6302

Least Common Multiple of 6298 and 6302 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 6302, than apply into the LCM equation.

GCF(6298,6302) = 2
LCM(6298,6302) = ( 6298 × 6302) / 2
LCM(6298,6302) = 39689996 / 2
LCM(6298,6302) = 19844998

Properties of LCM 6298 and 6302

(i) The LCM of 6302 and 6298 is associative

LCM of 6298 and 6302 = LCM of 6302 and 6298

Related Least Common Multiples of 6298

Related Least Common Multiples of 6302

Frequently Asked Questions on LCM of 6298 and 6302

1. What is the LCM of 6298 and 6302?

Answer: LCM of 6298 and 6302 is 19844998.

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 6302?

Answer: Factors of 6302 are 1, 2, 23, 46, 137, 274, 3151, 6302. There are 8 integers that are factors of 6302. The greatest factor of 6302 is 6302.

4. How to Find the LCM of 6298 and 6302?

Answer:

Least Common Multiple of 6298 and 6302 = 19844998

Step 1: Find the prime factorization of 6298

6298 = 2 x 47 x 67

Step 2: Find the prime factorization of 6302

6302 = 2 x 23 x 137

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

LCM = 19844998 = 2 x 23 x 47 x 67 x 137

Step 4: Therefore, the least common multiple of 6298 and 6302 is 19844998.