Least Common Multiple of 6280 and 6286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6280 and 6286 the smallest integer that is 19738040 that is divisible by both numbers.

Least Common Multiple (LCM) of 6280 and 6286 is 19738040.

LCM(6280,6286) = 19738040

LCM of 6280 and 6286

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

LCM of:
and

Least Common Multiple of 6280 and 6286

LCM of 6280 and 6286 is 19738040

Least common multiple can be found by multiplying the highest exponent prime factors of 6280 and 6286. First we will calculate the prime factors of 6280 and 6286.

Prime Factorization of 6280


2 6280
2 3140
2 1570
5 785
157 157
1

Prime factors of 6280 are 2, 5,157. Prime factorization of 6280 in exponential form is:

6280 = 23×51×1571

Prime Factorization of 6286


2 6286
7 3143
449 449
1

Prime factors of 6286 are 2, 7,449. Prime factorization of 6286 in exponential form is:

6286 = 21×71×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 6280 and 6286.

LCM(6280,6286) = 23×51×71×1571×4491
LCM(6280,6286) = 19738040

Factors of 6280

List of positive integer factors of 6280 that divides 6280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280

Factors of 6286

List of positive integer factors of 6286 that divides 6286 without a remainder.

1, 2, 7, 14, 449, 898, 3143, 6286

Least Common Multiple of 6280 and 6286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6280 and 6286, than apply into the LCM equation.

GCF(6280,6286) = 2
LCM(6280,6286) = ( 6280 × 6286) / 2
LCM(6280,6286) = 39476080 / 2
LCM(6280,6286) = 19738040

Properties of LCM 6280 and 6286

(i) The LCM of 6286 and 6280 is associative

LCM of 6280 and 6286 = LCM of 6286 and 6280

Related Least Common Multiples of 6280

Related Least Common Multiples of 6286

Frequently Asked Questions on LCM of 6280 and 6286

1. What is the LCM of 6280 and 6286?

Answer: LCM of 6280 and 6286 is 19738040.

2. What are the Factors of 6280?

Answer: Factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280. There are 16 integers that are factors of 6280. The greatest factor of 6280 is 6280.

3. What are the Factors of 6286?

Answer: Factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286. There are 8 integers that are factors of 6286. The greatest factor of 6286 is 6286.

4. How to Find the LCM of 6280 and 6286?

Answer:

Least Common Multiple of 6280 and 6286 = 19738040

Step 1: Find the prime factorization of 6280

6280 = 2 x 2 x 2 x 5 x 157

Step 2: Find the prime factorization of 6286

6286 = 2 x 7 x 449

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

LCM = 19738040 = 2 x 2 x 2 x 5 x 7 x 157 x 449

Step 4: Therefore, the least common multiple of 6280 and 6286 is 19738040.