Least Common Multiple of 7024 and 7029

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 7029 the smallest integer that is 49371696 that is divisible by both numbers.

Least Common Multiple (LCM) of 7024 and 7029 is 49371696.

LCM(7024,7029) = 49371696

LCM of 7024 and 7029

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

LCM of:
and

Least Common Multiple of 7024 and 7029

LCM of 7024 and 7029 is 49371696

Least common multiple can be found by multiplying the highest exponent prime factors of 7024 and 7029. First we will calculate the prime factors of 7024 and 7029.

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 7029


3 7029
3 2343
11 781
71 71
1

Prime factors of 7029 are 3, 11,71. Prime factorization of 7029 in exponential form is:

7029 = 32×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7024 and 7029.

LCM(7024,7029) = 24×32×111×711×4391
LCM(7024,7029) = 49371696

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 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029

Least Common Multiple of 7024 and 7029 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 7029, than apply into the LCM equation.

GCF(7024,7029) = 1
LCM(7024,7029) = ( 7024 × 7029) / 1
LCM(7024,7029) = 49371696 / 1
LCM(7024,7029) = 49371696

Properties of LCM 7024 and 7029

(i) The LCM of 7029 and 7024 is associative

LCM of 7024 and 7029 = LCM of 7029 and 7024

Related Least Common Multiples of 7024

Related Least Common Multiples of 7029

Frequently Asked Questions on LCM of 7024 and 7029

1. What is the LCM of 7024 and 7029?

Answer: LCM of 7024 and 7029 is 49371696.

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 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

4. How to Find the LCM of 7024 and 7029?

Answer:

Least Common Multiple of 7024 and 7029 = 49371696

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 7029

7029 = 3 x 3 x 11 x 71

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

LCM = 49371696 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 71 x 439

Step 4: Therefore, the least common multiple of 7024 and 7029 is 49371696.