Least Common Multiple of 7016 and 7023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7016 and 7023 the smallest integer that is 49273368 that is divisible by both numbers.

Least Common Multiple (LCM) of 7016 and 7023 is 49273368.

LCM(7016,7023) = 49273368

LCM of 7016 and 7023

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

LCM of:
and

Least Common Multiple of 7016 and 7023

LCM of 7016 and 7023 is 49273368

Least common multiple can be found by multiplying the highest exponent prime factors of 7016 and 7023. First we will calculate the prime factors of 7016 and 7023.

Prime Factorization of 7016


2 7016
2 3508
2 1754
877 877
1

Prime factors of 7016 are 2,877. Prime factorization of 7016 in exponential form is:

7016 = 23×8771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7016 and 7023.

LCM(7016,7023) = 23×31×8771×23411
LCM(7016,7023) = 49273368

Factors of 7016

List of positive integer factors of 7016 that divides 7016 without a remainder.

1, 2, 4, 8, 877, 1754, 3508, 7016

Factors of 7023

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

1, 3, 2341, 7023

Least Common Multiple of 7016 and 7023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7016 and 7023, than apply into the LCM equation.

GCF(7016,7023) = 1
LCM(7016,7023) = ( 7016 × 7023) / 1
LCM(7016,7023) = 49273368 / 1
LCM(7016,7023) = 49273368

Properties of LCM 7016 and 7023

(i) The LCM of 7023 and 7016 is associative

LCM of 7016 and 7023 = LCM of 7023 and 7016

Related Least Common Multiples of 7016

Related Least Common Multiples of 7023

Frequently Asked Questions on LCM of 7016 and 7023

1. What is the LCM of 7016 and 7023?

Answer: LCM of 7016 and 7023 is 49273368.

2. What are the Factors of 7016?

Answer: Factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016. There are 8 integers that are factors of 7016. The greatest factor of 7016 is 7016.

3. 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.

4. How to Find the LCM of 7016 and 7023?

Answer:

Least Common Multiple of 7016 and 7023 = 49273368

Step 1: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

Step 2: Find the prime factorization of 7023

7023 = 3 x 2341

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

LCM = 49273368 = 2 x 2 x 2 x 3 x 877 x 2341

Step 4: Therefore, the least common multiple of 7016 and 7023 is 49273368.