Least Common Multiple of 6268 and 6276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6268 and 6276 the smallest integer that is 9834492 that is divisible by both numbers.

Least Common Multiple (LCM) of 6268 and 6276 is 9834492.

LCM(6268,6276) = 9834492

LCM of 6268 and 6276

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

LCM of:
and

Least Common Multiple of 6268 and 6276

LCM of 6268 and 6276 is 9834492

Least common multiple can be found by multiplying the highest exponent prime factors of 6268 and 6276. First we will calculate the prime factors of 6268 and 6276.

Prime Factorization of 6268


2 6268
2 3134
1567 1567
1

Prime factors of 6268 are 2,1567. Prime factorization of 6268 in exponential form is:

6268 = 22×15671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6268 and 6276.

LCM(6268,6276) = 22×31×5231×15671
LCM(6268,6276) = 9834492

Factors of 6268

List of positive integer factors of 6268 that divides 6268 without a remainder.

1, 2, 4, 1567, 3134, 6268

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

Least Common Multiple of 6268 and 6276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6268 and 6276, than apply into the LCM equation.

GCF(6268,6276) = 4
LCM(6268,6276) = ( 6268 × 6276) / 4
LCM(6268,6276) = 39337968 / 4
LCM(6268,6276) = 9834492

Properties of LCM 6268 and 6276

(i) The LCM of 6276 and 6268 is associative

LCM of 6268 and 6276 = LCM of 6276 and 6268

Related Least Common Multiples of 6268

Related Least Common Multiples of 6276

Frequently Asked Questions on LCM of 6268 and 6276

1. What is the LCM of 6268 and 6276?

Answer: LCM of 6268 and 6276 is 9834492.

2. What are the Factors of 6268?

Answer: Factors of 6268 are 1, 2, 4, 1567, 3134, 6268. There are 6 integers that are factors of 6268. The greatest factor of 6268 is 6268.

3. 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.

4. How to Find the LCM of 6268 and 6276?

Answer:

Least Common Multiple of 6268 and 6276 = 9834492

Step 1: Find the prime factorization of 6268

6268 = 2 x 2 x 1567

Step 2: Find the prime factorization of 6276

6276 = 2 x 2 x 3 x 523

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

LCM = 9834492 = 2 x 2 x 3 x 523 x 1567

Step 4: Therefore, the least common multiple of 6268 and 6276 is 9834492.