Least Common Multiple of 6268 and 6275

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 6275 the smallest integer that is 39331700 that is divisible by both numbers.

Least Common Multiple (LCM) of 6268 and 6275 is 39331700.

LCM(6268,6275) = 39331700

LCM of 6268 and 6275

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

LCM of:
and

Least Common Multiple of 6268 and 6275

LCM of 6268 and 6275 is 39331700

Least common multiple can be found by multiplying the highest exponent prime factors of 6268 and 6275. First we will calculate the prime factors of 6268 and 6275.

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 6275


5 6275
5 1255
251 251
1

Prime factors of 6275 are 5,251. Prime factorization of 6275 in exponential form is:

6275 = 52×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 6268 and 6275.

LCM(6268,6275) = 22×52×2511×15671
LCM(6268,6275) = 39331700

Factors of 6268

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

1, 2, 4, 1567, 3134, 6268

Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1, 5, 25, 251, 1255, 6275

Least Common Multiple of 6268 and 6275 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 6275, than apply into the LCM equation.

GCF(6268,6275) = 1
LCM(6268,6275) = ( 6268 × 6275) / 1
LCM(6268,6275) = 39331700 / 1
LCM(6268,6275) = 39331700

Properties of LCM 6268 and 6275

(i) The LCM of 6275 and 6268 is associative

LCM of 6268 and 6275 = LCM of 6275 and 6268

Related Least Common Multiples of 6268

Related Least Common Multiples of 6275

Frequently Asked Questions on LCM of 6268 and 6275

1. What is the LCM of 6268 and 6275?

Answer: LCM of 6268 and 6275 is 39331700.

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 6275?

Answer: Factors of 6275 are 1, 5, 25, 251, 1255, 6275. There are 6 integers that are factors of 6275. The greatest factor of 6275 is 6275.

4. How to Find the LCM of 6268 and 6275?

Answer:

Least Common Multiple of 6268 and 6275 = 39331700

Step 1: Find the prime factorization of 6268

6268 = 2 x 2 x 1567

Step 2: Find the prime factorization of 6275

6275 = 5 x 5 x 251

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

LCM = 39331700 = 2 x 2 x 5 x 5 x 251 x 1567

Step 4: Therefore, the least common multiple of 6268 and 6275 is 39331700.