Least Common Multiple of 4040 and 4046

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 4046 the smallest integer that is 8172920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4040 and 4046 is 8172920.

LCM(4040,4046) = 8172920

LCM of 4040 and 4046

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

LCM of:
and

Least Common Multiple of 4040 and 4046

LCM of 4040 and 4046 is 8172920

Least common multiple can be found by multiplying the highest exponent prime factors of 4040 and 4046. First we will calculate the prime factors of 4040 and 4046.

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 4046


2 4046
7 2023
17 289
17 17
1

Prime factors of 4046 are 2, 7,17. Prime factorization of 4046 in exponential form is:

4046 = 21×71×172

Now multiplying the highest exponent prime factors to calculate the LCM of 4040 and 4046.

LCM(4040,4046) = 23×51×71×172×1011
LCM(4040,4046) = 8172920

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 4046

List of positive integer factors of 4046 that divides 4046 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046

Least Common Multiple of 4040 and 4046 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 4046, than apply into the LCM equation.

GCF(4040,4046) = 2
LCM(4040,4046) = ( 4040 × 4046) / 2
LCM(4040,4046) = 16345840 / 2
LCM(4040,4046) = 8172920

Properties of LCM 4040 and 4046

(i) The LCM of 4046 and 4040 is associative

LCM of 4040 and 4046 = LCM of 4046 and 4040

Related Least Common Multiples of 4040

Related Least Common Multiples of 4046

Frequently Asked Questions on LCM of 4040 and 4046

1. What is the LCM of 4040 and 4046?

Answer: LCM of 4040 and 4046 is 8172920.

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 4046?

Answer: Factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046. There are 12 integers that are factors of 4046. The greatest factor of 4046 is 4046.

4. How to Find the LCM of 4040 and 4046?

Answer:

Least Common Multiple of 4040 and 4046 = 8172920

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 4046

4046 = 2 x 7 x 17 x 17

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

LCM = 8172920 = 2 x 2 x 2 x 5 x 7 x 17 x 17 x 101

Step 4: Therefore, the least common multiple of 4040 and 4046 is 8172920.