Least Common Multiple of 7024 and 7031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7024 and 7031 the smallest integer that is 49385744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7024 and 7031 is 49385744.

LCM(7024,7031) = 49385744

LCM of 7024 and 7031

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

LCM of:
and

Least Common Multiple of 7024 and 7031

LCM of 7024 and 7031 is 49385744

Least common multiple can be found by multiplying the highest exponent prime factors of 7024 and 7031. First we will calculate the prime factors of 7024 and 7031.

Prime Factorization of 7024


2 7024
2 3512
2 1756
2 878
439 439
1

Prime factors of 7024 are 2,439. Prime factorization of 7024 in exponential form is:

7024 = 24×4391

Prime Factorization of 7031


79 7031
89 89
1

Prime factors of 7031 are 79,89. Prime factorization of 7031 in exponential form is:

7031 = 791×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7024 and 7031.

LCM(7024,7031) = 24×791×891×4391
LCM(7024,7031) = 49385744

Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024

Factors of 7031

List of positive integer factors of 7031 that divides 7031 without a remainder.

1, 79, 89, 7031

Least Common Multiple of 7024 and 7031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7024 and 7031, than apply into the LCM equation.

GCF(7024,7031) = 1
LCM(7024,7031) = ( 7024 × 7031) / 1
LCM(7024,7031) = 49385744 / 1
LCM(7024,7031) = 49385744

Properties of LCM 7024 and 7031

(i) The LCM of 7031 and 7024 is associative

LCM of 7024 and 7031 = LCM of 7031 and 7024

Related Least Common Multiples of 7024

Related Least Common Multiples of 7031

Frequently Asked Questions on LCM of 7024 and 7031

1. What is the LCM of 7024 and 7031?

Answer: LCM of 7024 and 7031 is 49385744.

2. What are the Factors of 7024?

Answer: Factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024. There are 10 integers that are factors of 7024. The greatest factor of 7024 is 7024.

3. What are the Factors of 7031?

Answer: Factors of 7031 are 1, 79, 89, 7031. There are 4 integers that are factors of 7031. The greatest factor of 7031 is 7031.

4. How to Find the LCM of 7024 and 7031?

Answer:

Least Common Multiple of 7024 and 7031 = 49385744

Step 1: Find the prime factorization of 7024

7024 = 2 x 2 x 2 x 2 x 439

Step 2: Find the prime factorization of 7031

7031 = 79 x 89

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

LCM = 49385744 = 2 x 2 x 2 x 2 x 79 x 89 x 439

Step 4: Therefore, the least common multiple of 7024 and 7031 is 49385744.