Least Common Multiple of 6272 and 6280

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 6280 the smallest integer that is 4923520 that is divisible by both numbers.

Least Common Multiple (LCM) of 6272 and 6280 is 4923520.

LCM(6272,6280) = 4923520

LCM of 6272 and 6280

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

LCM of:
and

Least Common Multiple of 6272 and 6280

LCM of 6272 and 6280 is 4923520

Least common multiple can be found by multiplying the highest exponent prime factors of 6272 and 6280. First we will calculate the prime factors of 6272 and 6280.

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 6280


2 6280
2 3140
2 1570
5 785
157 157
1

Prime factors of 6280 are 2, 5,157. Prime factorization of 6280 in exponential form is:

6280 = 23×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6272 and 6280.

LCM(6272,6280) = 27×51×72×1571
LCM(6272,6280) = 4923520

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 6280

List of positive integer factors of 6280 that divides 6280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280

Least Common Multiple of 6272 and 6280 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 6280, than apply into the LCM equation.

GCF(6272,6280) = 8
LCM(6272,6280) = ( 6272 × 6280) / 8
LCM(6272,6280) = 39388160 / 8
LCM(6272,6280) = 4923520

Properties of LCM 6272 and 6280

(i) The LCM of 6280 and 6272 is associative

LCM of 6272 and 6280 = LCM of 6280 and 6272

Related Least Common Multiples of 6272

Related Least Common Multiples of 6280

Frequently Asked Questions on LCM of 6272 and 6280

1. What is the LCM of 6272 and 6280?

Answer: LCM of 6272 and 6280 is 4923520.

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 6280?

Answer: Factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280. There are 16 integers that are factors of 6280. The greatest factor of 6280 is 6280.

4. How to Find the LCM of 6272 and 6280?

Answer:

Least Common Multiple of 6272 and 6280 = 4923520

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 6280

6280 = 2 x 2 x 2 x 5 x 157

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

LCM = 4923520 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 157

Step 4: Therefore, the least common multiple of 6272 and 6280 is 4923520.