Least Common Multiple of 43040 and 43047

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 43047 the smallest integer that is 1852742880 that is divisible by both numbers.

Least Common Multiple (LCM) of 43040 and 43047 is 1852742880.

LCM(43040,43047) = 1852742880

LCM of 43040 and 43047

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

LCM of:
and

Least Common Multiple of 43040 and 43047

LCM of 43040 and 43047 is 1852742880

Least common multiple can be found by multiplying the highest exponent prime factors of 43040 and 43047. First we will calculate the prime factors of 43040 and 43047.

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 43047


3 43047
3 14349
4783 4783
1

Prime factors of 43047 are 3,4783. Prime factorization of 43047 in exponential form is:

43047 = 32×47831

Now multiplying the highest exponent prime factors to calculate the LCM of 43040 and 43047.

LCM(43040,43047) = 25×32×51×2691×47831
LCM(43040,43047) = 1852742880

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 43047

List of positive integer factors of 43047 that divides 43047 without a remainder.

1, 3, 9, 4783, 14349, 43047

Least Common Multiple of 43040 and 43047 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 43047, than apply into the LCM equation.

GCF(43040,43047) = 1
LCM(43040,43047) = ( 43040 × 43047) / 1
LCM(43040,43047) = 1852742880 / 1
LCM(43040,43047) = 1852742880

Properties of LCM 43040 and 43047

(i) The LCM of 43047 and 43040 is associative

LCM of 43040 and 43047 = LCM of 43047 and 43040

Related Least Common Multiples of 43040

Related Least Common Multiples of 43047

Frequently Asked Questions on LCM of 43040 and 43047

1. What is the LCM of 43040 and 43047?

Answer: LCM of 43040 and 43047 is 1852742880.

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 43047?

Answer: Factors of 43047 are 1, 3, 9, 4783, 14349, 43047. There are 6 integers that are factors of 43047. The greatest factor of 43047 is 43047.

4. How to Find the LCM of 43040 and 43047?

Answer:

Least Common Multiple of 43040 and 43047 = 1852742880

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 43047

43047 = 3 x 3 x 4783

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

LCM = 1852742880 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 269 x 4783

Step 4: Therefore, the least common multiple of 43040 and 43047 is 1852742880.