Least Common Multiple of 40040 and 40043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40040 and 40043 the smallest integer that is 1603321720 that is divisible by both numbers.

Least Common Multiple (LCM) of 40040 and 40043 is 1603321720.

LCM(40040,40043) = 1603321720

LCM of 40040 and 40043

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

LCM of:
and

Least Common Multiple of 40040 and 40043

LCM of 40040 and 40043 is 1603321720

Least common multiple can be found by multiplying the highest exponent prime factors of 40040 and 40043. First we will calculate the prime factors of 40040 and 40043.

Prime Factorization of 40040


2 40040
2 20020
2 10010
5 5005
7 1001
11 143
13 13
1

Prime factors of 40040 are 2, 5, 7, 11,13. Prime factorization of 40040 in exponential form is:

40040 = 23×51×71×111×131

Prime Factorization of 40043


23 40043
1741 1741
1

Prime factors of 40043 are 23,1741. Prime factorization of 40043 in exponential form is:

40043 = 231×17411

Now multiplying the highest exponent prime factors to calculate the LCM of 40040 and 40043.

LCM(40040,40043) = 23×51×71×111×131×231×17411
LCM(40040,40043) = 1603321720

Factors of 40040

List of positive integer factors of 40040 that divides 40040 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 88, 91, 104, 110, 130, 140, 143, 154, 182, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 572, 616, 715, 728, 770, 910, 1001, 1144, 1430, 1540, 1820, 2002, 2860, 3080, 3640, 4004, 5005, 5720, 8008, 10010, 20020, 40040

Factors of 40043

List of positive integer factors of 40043 that divides 40043 without a remainder.

1, 23, 1741, 40043

Least Common Multiple of 40040 and 40043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40040 and 40043, than apply into the LCM equation.

GCF(40040,40043) = 1
LCM(40040,40043) = ( 40040 × 40043) / 1
LCM(40040,40043) = 1603321720 / 1
LCM(40040,40043) = 1603321720

Properties of LCM 40040 and 40043

(i) The LCM of 40043 and 40040 is associative

LCM of 40040 and 40043 = LCM of 40043 and 40040

Related Least Common Multiples of 40040

Related Least Common Multiples of 40043

Frequently Asked Questions on LCM of 40040 and 40043

1. What is the LCM of 40040 and 40043?

Answer: LCM of 40040 and 40043 is 1603321720.

2. What are the Factors of 40040?

Answer: Factors of 40040 are 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 88, 91, 104, 110, 130, 140, 143, 154, 182, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 572, 616, 715, 728, 770, 910, 1001, 1144, 1430, 1540, 1820, 2002, 2860, 3080, 3640, 4004, 5005, 5720, 8008, 10010, 20020, 40040. There are 64 integers that are factors of 40040. The greatest factor of 40040 is 40040.

3. What are the Factors of 40043?

Answer: Factors of 40043 are 1, 23, 1741, 40043. There are 4 integers that are factors of 40043. The greatest factor of 40043 is 40043.

4. How to Find the LCM of 40040 and 40043?

Answer:

Least Common Multiple of 40040 and 40043 = 1603321720

Step 1: Find the prime factorization of 40040

40040 = 2 x 2 x 2 x 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 40043

40043 = 23 x 1741

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

LCM = 1603321720 = 2 x 2 x 2 x 5 x 7 x 11 x 13 x 23 x 1741

Step 4: Therefore, the least common multiple of 40040 and 40043 is 1603321720.