Least Common Multiple of 6276 and 6284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6276 and 6284 the smallest integer that is 9859596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6276 and 6284 is 9859596.

LCM(6276,6284) = 9859596

LCM of 6276 and 6284

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

LCM of:
and

Least Common Multiple of 6276 and 6284

LCM of 6276 and 6284 is 9859596

Least common multiple can be found by multiplying the highest exponent prime factors of 6276 and 6284. First we will calculate the prime factors of 6276 and 6284.

Prime Factorization of 6276


2 6276
2 3138
3 1569
523 523
1

Prime factors of 6276 are 2, 3,523. Prime factorization of 6276 in exponential form is:

6276 = 22×31×5231

Prime Factorization of 6284


2 6284
2 3142
1571 1571
1

Prime factors of 6284 are 2,1571. Prime factorization of 6284 in exponential form is:

6284 = 22×15711

Now multiplying the highest exponent prime factors to calculate the LCM of 6276 and 6284.

LCM(6276,6284) = 22×31×5231×15711
LCM(6276,6284) = 9859596

Factors of 6276

List of positive integer factors of 6276 that divides 6276 without a remainder.

1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276

Factors of 6284

List of positive integer factors of 6284 that divides 6284 without a remainder.

1, 2, 4, 1571, 3142, 6284

Least Common Multiple of 6276 and 6284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6276 and 6284, than apply into the LCM equation.

GCF(6276,6284) = 4
LCM(6276,6284) = ( 6276 × 6284) / 4
LCM(6276,6284) = 39438384 / 4
LCM(6276,6284) = 9859596

Properties of LCM 6276 and 6284

(i) The LCM of 6284 and 6276 is associative

LCM of 6276 and 6284 = LCM of 6284 and 6276

Related Least Common Multiples of 6276

Related Least Common Multiples of 6284

Frequently Asked Questions on LCM of 6276 and 6284

1. What is the LCM of 6276 and 6284?

Answer: LCM of 6276 and 6284 is 9859596.

2. What are the Factors of 6276?

Answer: Factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276. There are 12 integers that are factors of 6276. The greatest factor of 6276 is 6276.

3. What are the Factors of 6284?

Answer: Factors of 6284 are 1, 2, 4, 1571, 3142, 6284. There are 6 integers that are factors of 6284. The greatest factor of 6284 is 6284.

4. How to Find the LCM of 6276 and 6284?

Answer:

Least Common Multiple of 6276 and 6284 = 9859596

Step 1: Find the prime factorization of 6276

6276 = 2 x 2 x 3 x 523

Step 2: Find the prime factorization of 6284

6284 = 2 x 2 x 1571

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

LCM = 9859596 = 2 x 2 x 3 x 523 x 1571

Step 4: Therefore, the least common multiple of 6276 and 6284 is 9859596.