Least Common Multiple of 6280 and 6285

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 6285 the smallest integer that is 7893960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6280 and 6285 is 7893960.

LCM(6280,6285) = 7893960

LCM of 6280 and 6285

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

LCM of:
and

Least Common Multiple of 6280 and 6285

LCM of 6280 and 6285 is 7893960

Least common multiple can be found by multiplying the highest exponent prime factors of 6280 and 6285. First we will calculate the prime factors of 6280 and 6285.

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 6285


3 6285
5 2095
419 419
1

Prime factors of 6285 are 3, 5,419. Prime factorization of 6285 in exponential form is:

6285 = 31×51×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 6280 and 6285.

LCM(6280,6285) = 23×31×51×1571×4191
LCM(6280,6285) = 7893960

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 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1, 3, 5, 15, 419, 1257, 2095, 6285

Least Common Multiple of 6280 and 6285 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 6285, than apply into the LCM equation.

GCF(6280,6285) = 5
LCM(6280,6285) = ( 6280 × 6285) / 5
LCM(6280,6285) = 39469800 / 5
LCM(6280,6285) = 7893960

Properties of LCM 6280 and 6285

(i) The LCM of 6285 and 6280 is associative

LCM of 6280 and 6285 = LCM of 6285 and 6280

Related Least Common Multiples of 6280

Related Least Common Multiples of 6285

Frequently Asked Questions on LCM of 6280 and 6285

1. What is the LCM of 6280 and 6285?

Answer: LCM of 6280 and 6285 is 7893960.

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 6285?

Answer: Factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285. There are 8 integers that are factors of 6285. The greatest factor of 6285 is 6285.

4. How to Find the LCM of 6280 and 6285?

Answer:

Least Common Multiple of 6280 and 6285 = 7893960

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 6285

6285 = 3 x 5 x 419

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

LCM = 7893960 = 2 x 2 x 2 x 3 x 5 x 157 x 419

Step 4: Therefore, the least common multiple of 6280 and 6285 is 7893960.