Least Common Multiple of 6272 and 6278

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 6278 the smallest integer that is 19687808 that is divisible by both numbers.

Least Common Multiple (LCM) of 6272 and 6278 is 19687808.

LCM(6272,6278) = 19687808

LCM of 6272 and 6278

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

LCM of:
and

Least Common Multiple of 6272 and 6278

LCM of 6272 and 6278 is 19687808

Least common multiple can be found by multiplying the highest exponent prime factors of 6272 and 6278. First we will calculate the prime factors of 6272 and 6278.

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 6278


2 6278
43 3139
73 73
1

Prime factors of 6278 are 2, 43,73. Prime factorization of 6278 in exponential form is:

6278 = 21×431×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6272 and 6278.

LCM(6272,6278) = 27×72×431×731
LCM(6272,6278) = 19687808

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 6278

List of positive integer factors of 6278 that divides 6278 without a remainder.

1, 2, 43, 73, 86, 146, 3139, 6278

Least Common Multiple of 6272 and 6278 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 6278, than apply into the LCM equation.

GCF(6272,6278) = 2
LCM(6272,6278) = ( 6272 × 6278) / 2
LCM(6272,6278) = 39375616 / 2
LCM(6272,6278) = 19687808

Properties of LCM 6272 and 6278

(i) The LCM of 6278 and 6272 is associative

LCM of 6272 and 6278 = LCM of 6278 and 6272

Related Least Common Multiples of 6272

Related Least Common Multiples of 6278

Frequently Asked Questions on LCM of 6272 and 6278

1. What is the LCM of 6272 and 6278?

Answer: LCM of 6272 and 6278 is 19687808.

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 6278?

Answer: Factors of 6278 are 1, 2, 43, 73, 86, 146, 3139, 6278. There are 8 integers that are factors of 6278. The greatest factor of 6278 is 6278.

4. How to Find the LCM of 6272 and 6278?

Answer:

Least Common Multiple of 6272 and 6278 = 19687808

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 6278

6278 = 2 x 43 x 73

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

LCM = 19687808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 43 x 73

Step 4: Therefore, the least common multiple of 6272 and 6278 is 19687808.