Least Common Multiple of 7023 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 7023 and 7031 the smallest integer that is 49378713 that is divisible by both numbers.

Least Common Multiple (LCM) of 7023 and 7031 is 49378713.

LCM(7023,7031) = 49378713

LCM of 7023 and 7031

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

LCM of:
and

Least Common Multiple of 7023 and 7031

LCM of 7023 and 7031 is 49378713

Least common multiple can be found by multiplying the highest exponent prime factors of 7023 and 7031. First we will calculate the prime factors of 7023 and 7031.

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 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 7023 and 7031.

LCM(7023,7031) = 31×791×891×23411
LCM(7023,7031) = 49378713

Factors of 7023

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

1, 3, 2341, 7023

Factors of 7031

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

1, 79, 89, 7031

Least Common Multiple of 7023 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 7023 and 7031, than apply into the LCM equation.

GCF(7023,7031) = 1
LCM(7023,7031) = ( 7023 × 7031) / 1
LCM(7023,7031) = 49378713 / 1
LCM(7023,7031) = 49378713

Properties of LCM 7023 and 7031

(i) The LCM of 7031 and 7023 is associative

LCM of 7023 and 7031 = LCM of 7031 and 7023

Related Least Common Multiples of 7023

Related Least Common Multiples of 7031

Frequently Asked Questions on LCM of 7023 and 7031

1. What is the LCM of 7023 and 7031?

Answer: LCM of 7023 and 7031 is 49378713.

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 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 7023 and 7031?

Answer:

Least Common Multiple of 7023 and 7031 = 49378713

Step 1: Find the prime factorization of 7023

7023 = 3 x 2341

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 = 49378713 = 3 x 79 x 89 x 2341

Step 4: Therefore, the least common multiple of 7023 and 7031 is 49378713.