Least Common Multiple of 4041 and 4048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4041 and 4048 the smallest integer that is 16357968 that is divisible by both numbers.

Least Common Multiple (LCM) of 4041 and 4048 is 16357968.

LCM(4041,4048) = 16357968

LCM of 4041 and 4048

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

LCM of:
and

Least Common Multiple of 4041 and 4048

LCM of 4041 and 4048 is 16357968

Least common multiple can be found by multiplying the highest exponent prime factors of 4041 and 4048. First we will calculate the prime factors of 4041 and 4048.

Prime Factorization of 4041


3 4041
3 1347
449 449
1

Prime factors of 4041 are 3,449. Prime factorization of 4041 in exponential form is:

4041 = 32×4491

Prime Factorization of 4048


2 4048
2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 4048 are 2, 11,23. Prime factorization of 4048 in exponential form is:

4048 = 24×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4041 and 4048.

LCM(4041,4048) = 24×32×111×231×4491
LCM(4041,4048) = 16357968

Factors of 4041

List of positive integer factors of 4041 that divides 4041 without a remainder.

1, 3, 9, 449, 1347, 4041

Factors of 4048

List of positive integer factors of 4048 that divides 4048 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048

Least Common Multiple of 4041 and 4048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4041 and 4048, than apply into the LCM equation.

GCF(4041,4048) = 1
LCM(4041,4048) = ( 4041 × 4048) / 1
LCM(4041,4048) = 16357968 / 1
LCM(4041,4048) = 16357968

Properties of LCM 4041 and 4048

(i) The LCM of 4048 and 4041 is associative

LCM of 4041 and 4048 = LCM of 4048 and 4041

Related Least Common Multiples of 4041

Related Least Common Multiples of 4048

Frequently Asked Questions on LCM of 4041 and 4048

1. What is the LCM of 4041 and 4048?

Answer: LCM of 4041 and 4048 is 16357968.

2. What are the Factors of 4041?

Answer: Factors of 4041 are 1, 3, 9, 449, 1347, 4041. There are 6 integers that are factors of 4041. The greatest factor of 4041 is 4041.

3. What are the Factors of 4048?

Answer: Factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048. There are 20 integers that are factors of 4048. The greatest factor of 4048 is 4048.

4. How to Find the LCM of 4041 and 4048?

Answer:

Least Common Multiple of 4041 and 4048 = 16357968

Step 1: Find the prime factorization of 4041

4041 = 3 x 3 x 449

Step 2: Find the prime factorization of 4048

4048 = 2 x 2 x 2 x 2 x 11 x 23

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

LCM = 16357968 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 23 x 449

Step 4: Therefore, the least common multiple of 4041 and 4048 is 16357968.