Least Common Multiple of 7040 and 7046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7040 and 7046 the smallest integer that is 24801920 that is divisible by both numbers.

Least Common Multiple (LCM) of 7040 and 7046 is 24801920.

LCM(7040,7046) = 24801920

LCM of 7040 and 7046

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

LCM of:
and

Least Common Multiple of 7040 and 7046

LCM of 7040 and 7046 is 24801920

Least common multiple can be found by multiplying the highest exponent prime factors of 7040 and 7046. First we will calculate the prime factors of 7040 and 7046.

Prime Factorization of 7040


2 7040
2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 7040 are 2, 5,11. Prime factorization of 7040 in exponential form is:

7040 = 27×51×111

Prime Factorization of 7046


2 7046
13 3523
271 271
1

Prime factors of 7046 are 2, 13,271. Prime factorization of 7046 in exponential form is:

7046 = 21×131×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7040 and 7046.

LCM(7040,7046) = 27×51×111×131×2711
LCM(7040,7046) = 24801920

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040

Factors of 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1, 2, 13, 26, 271, 542, 3523, 7046

Least Common Multiple of 7040 and 7046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7040 and 7046, than apply into the LCM equation.

GCF(7040,7046) = 2
LCM(7040,7046) = ( 7040 × 7046) / 2
LCM(7040,7046) = 49603840 / 2
LCM(7040,7046) = 24801920

Properties of LCM 7040 and 7046

(i) The LCM of 7046 and 7040 is associative

LCM of 7040 and 7046 = LCM of 7046 and 7040

Related Least Common Multiples of 7040

Related Least Common Multiples of 7046

Frequently Asked Questions on LCM of 7040 and 7046

1. What is the LCM of 7040 and 7046?

Answer: LCM of 7040 and 7046 is 24801920.

2. What are the Factors of 7040?

Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.

3. What are the Factors of 7046?

Answer: Factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046. There are 8 integers that are factors of 7046. The greatest factor of 7046 is 7046.

4. How to Find the LCM of 7040 and 7046?

Answer:

Least Common Multiple of 7040 and 7046 = 24801920

Step 1: Find the prime factorization of 7040

7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 7046

7046 = 2 x 13 x 271

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

LCM = 24801920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 271

Step 4: Therefore, the least common multiple of 7040 and 7046 is 24801920.