Least Common Multiple of 7023 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 7023 and 7029 the smallest integer that is 16454889 that is divisible by both numbers.

Least Common Multiple (LCM) of 7023 and 7029 is 16454889.

LCM(7023,7029) = 16454889

LCM of 7023 and 7029

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

LCM of:
and

Least Common Multiple of 7023 and 7029

LCM of 7023 and 7029 is 16454889

Least common multiple can be found by multiplying the highest exponent prime factors of 7023 and 7029. First we will calculate the prime factors of 7023 and 7029.

Prime Factorization of 7023


3 7023
2341 2341
1

Prime factors of 7023 are 3,2341. Prime factorization of 7023 in exponential form is:

7023 = 31×23411

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 7023 and 7029.

LCM(7023,7029) = 32×111×711×23411
LCM(7023,7029) = 16454889

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1, 3, 2341, 7023

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 7023 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 7023 and 7029, than apply into the LCM equation.

GCF(7023,7029) = 3
LCM(7023,7029) = ( 7023 × 7029) / 3
LCM(7023,7029) = 49364667 / 3
LCM(7023,7029) = 16454889

Properties of LCM 7023 and 7029

(i) The LCM of 7029 and 7023 is associative

LCM of 7023 and 7029 = LCM of 7029 and 7023

Related Least Common Multiples of 7023

Related Least Common Multiples of 7029

Frequently Asked Questions on LCM of 7023 and 7029

1. What is the LCM of 7023 and 7029?

Answer: LCM of 7023 and 7029 is 16454889.

2. What are the Factors of 7023?

Answer: Factors of 7023 are 1, 3, 2341, 7023. There are 4 integers that are factors of 7023. The greatest factor of 7023 is 7023.

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 7023 and 7029?

Answer:

Least Common Multiple of 7023 and 7029 = 16454889

Step 1: Find the prime factorization of 7023

7023 = 3 x 2341

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 = 16454889 = 3 x 3 x 11 x 71 x 2341

Step 4: Therefore, the least common multiple of 7023 and 7029 is 16454889.