Least Common Multiple of 7022 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 7022 and 7029 the smallest integer that is 49357638 that is divisible by both numbers.

Least Common Multiple (LCM) of 7022 and 7029 is 49357638.

LCM(7022,7029) = 49357638

LCM of 7022 and 7029

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

LCM of:
and

Least Common Multiple of 7022 and 7029

LCM of 7022 and 7029 is 49357638

Least common multiple can be found by multiplying the highest exponent prime factors of 7022 and 7029. First we will calculate the prime factors of 7022 and 7029.

Prime Factorization of 7022


2 7022
3511 3511
1

Prime factors of 7022 are 2,3511. Prime factorization of 7022 in exponential form is:

7022 = 21×35111

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 7022 and 7029.

LCM(7022,7029) = 21×32×111×711×35111
LCM(7022,7029) = 49357638

Factors of 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1, 2, 3511, 7022

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 7022 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 7022 and 7029, than apply into the LCM equation.

GCF(7022,7029) = 1
LCM(7022,7029) = ( 7022 × 7029) / 1
LCM(7022,7029) = 49357638 / 1
LCM(7022,7029) = 49357638

Properties of LCM 7022 and 7029

(i) The LCM of 7029 and 7022 is associative

LCM of 7022 and 7029 = LCM of 7029 and 7022

Related Least Common Multiples of 7022

Related Least Common Multiples of 7029

Frequently Asked Questions on LCM of 7022 and 7029

1. What is the LCM of 7022 and 7029?

Answer: LCM of 7022 and 7029 is 49357638.

2. What are the Factors of 7022?

Answer: Factors of 7022 are 1, 2, 3511, 7022. There are 4 integers that are factors of 7022. The greatest factor of 7022 is 7022.

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 7022 and 7029?

Answer:

Least Common Multiple of 7022 and 7029 = 49357638

Step 1: Find the prime factorization of 7022

7022 = 2 x 3511

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 = 49357638 = 2 x 3 x 3 x 11 x 71 x 3511

Step 4: Therefore, the least common multiple of 7022 and 7029 is 49357638.