Least Common Multiple of 6302 and 6306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6302 and 6306 the smallest integer that is 19870206 that is divisible by both numbers.

Least Common Multiple (LCM) of 6302 and 6306 is 19870206.

LCM(6302,6306) = 19870206

LCM of 6302 and 6306

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

LCM of:
and

Least Common Multiple of 6302 and 6306

LCM of 6302 and 6306 is 19870206

Least common multiple can be found by multiplying the highest exponent prime factors of 6302 and 6306. First we will calculate the prime factors of 6302 and 6306.

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

Prime Factorization of 6306


2 6306
3 3153
1051 1051
1

Prime factors of 6306 are 2, 3,1051. Prime factorization of 6306 in exponential form is:

6306 = 21×31×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 6302 and 6306.

LCM(6302,6306) = 21×31×231×1371×10511
LCM(6302,6306) = 19870206

Factors of 6302

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

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

Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1, 2, 3, 6, 1051, 2102, 3153, 6306

Least Common Multiple of 6302 and 6306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6302 and 6306, than apply into the LCM equation.

GCF(6302,6306) = 2
LCM(6302,6306) = ( 6302 × 6306) / 2
LCM(6302,6306) = 39740412 / 2
LCM(6302,6306) = 19870206

Properties of LCM 6302 and 6306

(i) The LCM of 6306 and 6302 is associative

LCM of 6302 and 6306 = LCM of 6306 and 6302

Related Least Common Multiples of 6302

Related Least Common Multiples of 6306

Frequently Asked Questions on LCM of 6302 and 6306

1. What is the LCM of 6302 and 6306?

Answer: LCM of 6302 and 6306 is 19870206.

2. 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.

3. What are the Factors of 6306?

Answer: Factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306. There are 8 integers that are factors of 6306. The greatest factor of 6306 is 6306.

4. How to Find the LCM of 6302 and 6306?

Answer:

Least Common Multiple of 6302 and 6306 = 19870206

Step 1: Find the prime factorization of 6302

6302 = 2 x 23 x 137

Step 2: Find the prime factorization of 6306

6306 = 2 x 3 x 1051

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

LCM = 19870206 = 2 x 3 x 23 x 137 x 1051

Step 4: Therefore, the least common multiple of 6302 and 6306 is 19870206.