Least Common Multiple of 7041 and 7048

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 7048 the smallest integer that is 49624968 that is divisible by both numbers.

Least Common Multiple (LCM) of 7041 and 7048 is 49624968.

LCM(7041,7048) = 49624968

LCM of 7041 and 7048

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

LCM of:
and

Least Common Multiple of 7041 and 7048

LCM of 7041 and 7048 is 49624968

Least common multiple can be found by multiplying the highest exponent prime factors of 7041 and 7048. First we will calculate the prime factors of 7041 and 7048.

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 7048


2 7048
2 3524
2 1762
881 881
1

Prime factors of 7048 are 2,881. Prime factorization of 7048 in exponential form is:

7048 = 23×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 7041 and 7048.

LCM(7041,7048) = 23×31×8811×23471
LCM(7041,7048) = 49624968

Factors of 7041

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

1, 3, 2347, 7041

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1, 2, 4, 8, 881, 1762, 3524, 7048

Least Common Multiple of 7041 and 7048 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 7048, than apply into the LCM equation.

GCF(7041,7048) = 1
LCM(7041,7048) = ( 7041 × 7048) / 1
LCM(7041,7048) = 49624968 / 1
LCM(7041,7048) = 49624968

Properties of LCM 7041 and 7048

(i) The LCM of 7048 and 7041 is associative

LCM of 7041 and 7048 = LCM of 7048 and 7041

Related Least Common Multiples of 7041

Related Least Common Multiples of 7048

Frequently Asked Questions on LCM of 7041 and 7048

1. What is the LCM of 7041 and 7048?

Answer: LCM of 7041 and 7048 is 49624968.

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 7048?

Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.

4. How to Find the LCM of 7041 and 7048?

Answer:

Least Common Multiple of 7041 and 7048 = 49624968

Step 1: Find the prime factorization of 7041

7041 = 3 x 2347

Step 2: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

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

LCM = 49624968 = 2 x 2 x 2 x 3 x 881 x 2347

Step 4: Therefore, the least common multiple of 7041 and 7048 is 49624968.