Least Common Multiple of 6272 and 6279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6272 and 6279 the smallest integer that is 5625984 that is divisible by both numbers.

Least Common Multiple (LCM) of 6272 and 6279 is 5625984.

LCM(6272,6279) = 5625984

LCM of 6272 and 6279

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

LCM of:
and

Least Common Multiple of 6272 and 6279

LCM of 6272 and 6279 is 5625984

Least common multiple can be found by multiplying the highest exponent prime factors of 6272 and 6279. First we will calculate the prime factors of 6272 and 6279.

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

Prime Factorization of 6279


3 6279
7 2093
13 299
23 23
1

Prime factors of 6279 are 3, 7, 13,23. Prime factorization of 6279 in exponential form is:

6279 = 31×71×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6272 and 6279.

LCM(6272,6279) = 27×31×72×131×231
LCM(6272,6279) = 5625984

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

Factors of 6279

List of positive integer factors of 6279 that divides 6279 without a remainder.

1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279

Least Common Multiple of 6272 and 6279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6272 and 6279, than apply into the LCM equation.

GCF(6272,6279) = 7
LCM(6272,6279) = ( 6272 × 6279) / 7
LCM(6272,6279) = 39381888 / 7
LCM(6272,6279) = 5625984

Properties of LCM 6272 and 6279

(i) The LCM of 6279 and 6272 is associative

LCM of 6272 and 6279 = LCM of 6279 and 6272

Related Least Common Multiples of 6272

Related Least Common Multiples of 6279

Frequently Asked Questions on LCM of 6272 and 6279

1. What is the LCM of 6272 and 6279?

Answer: LCM of 6272 and 6279 is 5625984.

2. 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.

3. What are the Factors of 6279?

Answer: Factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279. There are 16 integers that are factors of 6279. The greatest factor of 6279 is 6279.

4. How to Find the LCM of 6272 and 6279?

Answer:

Least Common Multiple of 6272 and 6279 = 5625984

Step 1: 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 2: Find the prime factorization of 6279

6279 = 3 x 7 x 13 x 23

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

LCM = 5625984 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 6272 and 6279 is 5625984.