Least Common Multiple of 6294 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 6294 and 6302 the smallest integer that is 19832394 that is divisible by both numbers.

Least Common Multiple (LCM) of 6294 and 6302 is 19832394.

LCM(6294,6302) = 19832394

LCM of 6294 and 6302

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

LCM of:
and

Least Common Multiple of 6294 and 6302

LCM of 6294 and 6302 is 19832394

Least common multiple can be found by multiplying the highest exponent prime factors of 6294 and 6302. First we will calculate the prime factors of 6294 and 6302.

Prime Factorization of 6294


2 6294
3 3147
1049 1049
1

Prime factors of 6294 are 2, 3,1049. Prime factorization of 6294 in exponential form is:

6294 = 21×31×10491

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 6294 and 6302.

LCM(6294,6302) = 21×31×231×1371×10491
LCM(6294,6302) = 19832394

Factors of 6294

List of positive integer factors of 6294 that divides 6294 without a remainder.

1, 2, 3, 6, 1049, 2098, 3147, 6294

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 6294 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 6294 and 6302, than apply into the LCM equation.

GCF(6294,6302) = 2
LCM(6294,6302) = ( 6294 × 6302) / 2
LCM(6294,6302) = 39664788 / 2
LCM(6294,6302) = 19832394

Properties of LCM 6294 and 6302

(i) The LCM of 6302 and 6294 is associative

LCM of 6294 and 6302 = LCM of 6302 and 6294

Related Least Common Multiples of 6294

Related Least Common Multiples of 6302

Frequently Asked Questions on LCM of 6294 and 6302

1. What is the LCM of 6294 and 6302?

Answer: LCM of 6294 and 6302 is 19832394.

2. What are the Factors of 6294?

Answer: Factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294. There are 8 integers that are factors of 6294. The greatest factor of 6294 is 6294.

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 6294 and 6302?

Answer:

Least Common Multiple of 6294 and 6302 = 19832394

Step 1: Find the prime factorization of 6294

6294 = 2 x 3 x 1049

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 = 19832394 = 2 x 3 x 23 x 137 x 1049

Step 4: Therefore, the least common multiple of 6294 and 6302 is 19832394.