Least Common Multiple of 7041 and 7046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7041 and 7046 the smallest integer that is 49610886 that is divisible by both numbers.

Least Common Multiple (LCM) of 7041 and 7046 is 49610886.

LCM(7041,7046) = 49610886

LCM of 7041 and 7046

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

LCM of:
and

Least Common Multiple of 7041 and 7046

LCM of 7041 and 7046 is 49610886

Least common multiple can be found by multiplying the highest exponent prime factors of 7041 and 7046. First we will calculate the prime factors of 7041 and 7046.

Prime Factorization of 7041


3 7041
2347 2347
1

Prime factors of 7041 are 3,2347. Prime factorization of 7041 in exponential form is:

7041 = 31×23471

Prime Factorization of 7046


2 7046
13 3523
271 271
1

Prime factors of 7046 are 2, 13,271. Prime factorization of 7046 in exponential form is:

7046 = 21×131×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7041 and 7046.

LCM(7041,7046) = 21×31×131×2711×23471
LCM(7041,7046) = 49610886

Factors of 7041

List of positive integer factors of 7041 that divides 7041 without a remainder.

1, 3, 2347, 7041

Factors of 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1, 2, 13, 26, 271, 542, 3523, 7046

Least Common Multiple of 7041 and 7046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7041 and 7046, than apply into the LCM equation.

GCF(7041,7046) = 1
LCM(7041,7046) = ( 7041 × 7046) / 1
LCM(7041,7046) = 49610886 / 1
LCM(7041,7046) = 49610886

Properties of LCM 7041 and 7046

(i) The LCM of 7046 and 7041 is associative

LCM of 7041 and 7046 = LCM of 7046 and 7041

Related Least Common Multiples of 7041

Related Least Common Multiples of 7046

Frequently Asked Questions on LCM of 7041 and 7046

1. What is the LCM of 7041 and 7046?

Answer: LCM of 7041 and 7046 is 49610886.

2. What are the Factors of 7041?

Answer: Factors of 7041 are 1, 3, 2347, 7041. There are 4 integers that are factors of 7041. The greatest factor of 7041 is 7041.

3. What are the Factors of 7046?

Answer: Factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046. There are 8 integers that are factors of 7046. The greatest factor of 7046 is 7046.

4. How to Find the LCM of 7041 and 7046?

Answer:

Least Common Multiple of 7041 and 7046 = 49610886

Step 1: Find the prime factorization of 7041

7041 = 3 x 2347

Step 2: Find the prime factorization of 7046

7046 = 2 x 13 x 271

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

LCM = 49610886 = 2 x 3 x 13 x 271 x 2347

Step 4: Therefore, the least common multiple of 7041 and 7046 is 49610886.