Least Common Multiple of 43040 and 43043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 43040 and 43043 the smallest integer that is 1852570720 that is divisible by both numbers.

Least Common Multiple (LCM) of 43040 and 43043 is 1852570720.

LCM(43040,43043) = 1852570720

LCM of 43040 and 43043

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

LCM of:
and

Least Common Multiple of 43040 and 43043

LCM of 43040 and 43043 is 1852570720

Least common multiple can be found by multiplying the highest exponent prime factors of 43040 and 43043. First we will calculate the prime factors of 43040 and 43043.

Prime Factorization of 43040


2 43040
2 21520
2 10760
2 5380
2 2690
5 1345
269 269
1

Prime factors of 43040 are 2, 5,269. Prime factorization of 43040 in exponential form is:

43040 = 25×51×2691

Prime Factorization of 43043


7 43043
11 6149
13 559
43 43
1

Prime factors of 43043 are 7, 11, 13,43. Prime factorization of 43043 in exponential form is:

43043 = 71×111×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 43040 and 43043.

LCM(43040,43043) = 25×51×71×111×131×431×2691
LCM(43040,43043) = 1852570720

Factors of 43040

List of positive integer factors of 43040 that divides 43040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 269, 538, 1076, 1345, 2152, 2690, 4304, 5380, 8608, 10760, 21520, 43040

Factors of 43043

List of positive integer factors of 43043 that divides 43043 without a remainder.

1, 7, 11, 13, 43, 77, 91, 143, 301, 473, 559, 1001, 3311, 3913, 6149, 43043

Least Common Multiple of 43040 and 43043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43040 and 43043, than apply into the LCM equation.

GCF(43040,43043) = 1
LCM(43040,43043) = ( 43040 × 43043) / 1
LCM(43040,43043) = 1852570720 / 1
LCM(43040,43043) = 1852570720

Properties of LCM 43040 and 43043

(i) The LCM of 43043 and 43040 is associative

LCM of 43040 and 43043 = LCM of 43043 and 43040

Related Least Common Multiples of 43040

Related Least Common Multiples of 43043

Frequently Asked Questions on LCM of 43040 and 43043

1. What is the LCM of 43040 and 43043?

Answer: LCM of 43040 and 43043 is 1852570720.

2. What are the Factors of 43040?

Answer: Factors of 43040 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 269, 538, 1076, 1345, 2152, 2690, 4304, 5380, 8608, 10760, 21520, 43040. There are 24 integers that are factors of 43040. The greatest factor of 43040 is 43040.

3. What are the Factors of 43043?

Answer: Factors of 43043 are 1, 7, 11, 13, 43, 77, 91, 143, 301, 473, 559, 1001, 3311, 3913, 6149, 43043. There are 16 integers that are factors of 43043. The greatest factor of 43043 is 43043.

4. How to Find the LCM of 43040 and 43043?

Answer:

Least Common Multiple of 43040 and 43043 = 1852570720

Step 1: Find the prime factorization of 43040

43040 = 2 x 2 x 2 x 2 x 2 x 5 x 269

Step 2: Find the prime factorization of 43043

43043 = 7 x 11 x 13 x 43

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

LCM = 1852570720 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 13 x 43 x 269

Step 4: Therefore, the least common multiple of 43040 and 43043 is 1852570720.