Least Common Multiple of 4040 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 4040 and 4048 the smallest integer that is 2044240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4040 and 4048 is 2044240.

LCM(4040,4048) = 2044240

LCM of 4040 and 4048

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

LCM of:
and

Least Common Multiple of 4040 and 4048

LCM of 4040 and 4048 is 2044240

Least common multiple can be found by multiplying the highest exponent prime factors of 4040 and 4048. First we will calculate the prime factors of 4040 and 4048.

Prime Factorization of 4040


2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 4040 are 2, 5,101. Prime factorization of 4040 in exponential form is:

4040 = 23×51×1011

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 4040 and 4048.

LCM(4040,4048) = 24×51×111×231×1011
LCM(4040,4048) = 2044240

Factors of 4040

List of positive integer factors of 4040 that divides 4040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040

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 4040 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 4040 and 4048, than apply into the LCM equation.

GCF(4040,4048) = 8
LCM(4040,4048) = ( 4040 × 4048) / 8
LCM(4040,4048) = 16353920 / 8
LCM(4040,4048) = 2044240

Properties of LCM 4040 and 4048

(i) The LCM of 4048 and 4040 is associative

LCM of 4040 and 4048 = LCM of 4048 and 4040

Related Least Common Multiples of 4040

Related Least Common Multiples of 4048

Frequently Asked Questions on LCM of 4040 and 4048

1. What is the LCM of 4040 and 4048?

Answer: LCM of 4040 and 4048 is 2044240.

2. What are the Factors of 4040?

Answer: Factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040. There are 16 integers that are factors of 4040. The greatest factor of 4040 is 4040.

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 4040 and 4048?

Answer:

Least Common Multiple of 4040 and 4048 = 2044240

Step 1: Find the prime factorization of 4040

4040 = 2 x 2 x 2 x 5 x 101

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 = 2044240 = 2 x 2 x 2 x 2 x 5 x 11 x 23 x 101

Step 4: Therefore, the least common multiple of 4040 and 4048 is 2044240.