Least Common Multiple of 8041 and 8048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8041 and 8048 the smallest integer that is 64713968 that is divisible by both numbers.

Least Common Multiple (LCM) of 8041 and 8048 is 64713968.

LCM(8041,8048) = 64713968

LCM of 8041 and 8048

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

LCM of:
and

Least Common Multiple of 8041 and 8048

LCM of 8041 and 8048 is 64713968

Least common multiple can be found by multiplying the highest exponent prime factors of 8041 and 8048. First we will calculate the prime factors of 8041 and 8048.

Prime Factorization of 8041


11 8041
17 731
43 43
1

Prime factors of 8041 are 11, 17,43. Prime factorization of 8041 in exponential form is:

8041 = 111×171×431

Prime Factorization of 8048


2 8048
2 4024
2 2012
2 1006
503 503
1

Prime factors of 8048 are 2,503. Prime factorization of 8048 in exponential form is:

8048 = 24×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 8041 and 8048.

LCM(8041,8048) = 24×111×171×431×5031
LCM(8041,8048) = 64713968

Factors of 8041

List of positive integer factors of 8041 that divides 8041 without a remainder.

1, 11, 17, 43, 187, 473, 731, 8041

Factors of 8048

List of positive integer factors of 8048 that divides 8048 without a remainder.

1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048

Least Common Multiple of 8041 and 8048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8041 and 8048, than apply into the LCM equation.

GCF(8041,8048) = 1
LCM(8041,8048) = ( 8041 × 8048) / 1
LCM(8041,8048) = 64713968 / 1
LCM(8041,8048) = 64713968

Properties of LCM 8041 and 8048

(i) The LCM of 8048 and 8041 is associative

LCM of 8041 and 8048 = LCM of 8048 and 8041

Related Least Common Multiples of 8041

Related Least Common Multiples of 8048

Frequently Asked Questions on LCM of 8041 and 8048

1. What is the LCM of 8041 and 8048?

Answer: LCM of 8041 and 8048 is 64713968.

2. What are the Factors of 8041?

Answer: Factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041. There are 8 integers that are factors of 8041. The greatest factor of 8041 is 8041.

3. What are the Factors of 8048?

Answer: Factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048. There are 10 integers that are factors of 8048. The greatest factor of 8048 is 8048.

4. How to Find the LCM of 8041 and 8048?

Answer:

Least Common Multiple of 8041 and 8048 = 64713968

Step 1: Find the prime factorization of 8041

8041 = 11 x 17 x 43

Step 2: Find the prime factorization of 8048

8048 = 2 x 2 x 2 x 2 x 503

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

LCM = 64713968 = 2 x 2 x 2 x 2 x 11 x 17 x 43 x 503

Step 4: Therefore, the least common multiple of 8041 and 8048 is 64713968.