Least Common Multiple of 7015 and 7022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7015 and 7022 the smallest integer that is 49259330 that is divisible by both numbers.

Least Common Multiple (LCM) of 7015 and 7022 is 49259330.

LCM(7015,7022) = 49259330

LCM of 7015 and 7022

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

LCM of:
and

Least Common Multiple of 7015 and 7022

LCM of 7015 and 7022 is 49259330

Least common multiple can be found by multiplying the highest exponent prime factors of 7015 and 7022. First we will calculate the prime factors of 7015 and 7022.

Prime Factorization of 7015


5 7015
23 1403
61 61
1

Prime factors of 7015 are 5, 23,61. Prime factorization of 7015 in exponential form is:

7015 = 51×231×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7015 and 7022.

LCM(7015,7022) = 21×51×231×611×35111
LCM(7015,7022) = 49259330

Factors of 7015

List of positive integer factors of 7015 that divides 7015 without a remainder.

1, 5, 23, 61, 115, 305, 1403, 7015

Factors of 7022

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

1, 2, 3511, 7022

Least Common Multiple of 7015 and 7022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7015 and 7022, than apply into the LCM equation.

GCF(7015,7022) = 1
LCM(7015,7022) = ( 7015 × 7022) / 1
LCM(7015,7022) = 49259330 / 1
LCM(7015,7022) = 49259330

Properties of LCM 7015 and 7022

(i) The LCM of 7022 and 7015 is associative

LCM of 7015 and 7022 = LCM of 7022 and 7015

Related Least Common Multiples of 7015

Related Least Common Multiples of 7022

Frequently Asked Questions on LCM of 7015 and 7022

1. What is the LCM of 7015 and 7022?

Answer: LCM of 7015 and 7022 is 49259330.

2. What are the Factors of 7015?

Answer: Factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015. There are 8 integers that are factors of 7015. The greatest factor of 7015 is 7015.

3. 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.

4. How to Find the LCM of 7015 and 7022?

Answer:

Least Common Multiple of 7015 and 7022 = 49259330

Step 1: Find the prime factorization of 7015

7015 = 5 x 23 x 61

Step 2: Find the prime factorization of 7022

7022 = 2 x 3511

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

LCM = 49259330 = 2 x 5 x 23 x 61 x 3511

Step 4: Therefore, the least common multiple of 7015 and 7022 is 49259330.