Least Common Multiple of 6268 and 6272

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 6272 the smallest integer that is 9828224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6268 and 6272 is 9828224.

LCM(6268,6272) = 9828224

LCM of 6268 and 6272

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

LCM of:
and

Least Common Multiple of 6268 and 6272

LCM of 6268 and 6272 is 9828224

Least common multiple can be found by multiplying the highest exponent prime factors of 6268 and 6272. First we will calculate the prime factors of 6268 and 6272.

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 6272


2 6272
2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 6272 are 2,7. Prime factorization of 6272 in exponential form is:

6272 = 27×72

Now multiplying the highest exponent prime factors to calculate the LCM of 6268 and 6272.

LCM(6268,6272) = 27×72×15671
LCM(6268,6272) = 9828224

Factors of 6268

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

1, 2, 4, 1567, 3134, 6268

Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272

Least Common Multiple of 6268 and 6272 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 6272, than apply into the LCM equation.

GCF(6268,6272) = 4
LCM(6268,6272) = ( 6268 × 6272) / 4
LCM(6268,6272) = 39312896 / 4
LCM(6268,6272) = 9828224

Properties of LCM 6268 and 6272

(i) The LCM of 6272 and 6268 is associative

LCM of 6268 and 6272 = LCM of 6272 and 6268

Related Least Common Multiples of 6268

Related Least Common Multiples of 6272

Frequently Asked Questions on LCM of 6268 and 6272

1. What is the LCM of 6268 and 6272?

Answer: LCM of 6268 and 6272 is 9828224.

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 6272?

Answer: Factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272. There are 24 integers that are factors of 6272. The greatest factor of 6272 is 6272.

4. How to Find the LCM of 6268 and 6272?

Answer:

Least Common Multiple of 6268 and 6272 = 9828224

Step 1: Find the prime factorization of 6268

6268 = 2 x 2 x 1567

Step 2: Find the prime factorization of 6272

6272 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

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

LCM = 9828224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 1567

Step 4: Therefore, the least common multiple of 6268 and 6272 is 9828224.