Least Common Multiple of 36032 and 36040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36032 and 36040 the smallest integer that is 162324160 that is divisible by both numbers.

Least Common Multiple (LCM) of 36032 and 36040 is 162324160.

LCM(36032,36040) = 162324160

LCM of 36032 and 36040

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

LCM of:
and

Least Common Multiple of 36032 and 36040

LCM of 36032 and 36040 is 162324160

Least common multiple can be found by multiplying the highest exponent prime factors of 36032 and 36040. First we will calculate the prime factors of 36032 and 36040.

Prime Factorization of 36032


2 36032
2 18016
2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:

36032 = 26×5631

Prime Factorization of 36040


2 36040
2 18020
2 9010
5 4505
17 901
53 53
1

Prime factors of 36040 are 2, 5, 17,53. Prime factorization of 36040 in exponential form is:

36040 = 23×51×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 36032 and 36040.

LCM(36032,36040) = 26×51×171×531×5631
LCM(36032,36040) = 162324160

Factors of 36032

List of positive integer factors of 36032 that divides 36032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032

Factors of 36040

List of positive integer factors of 36040 that divides 36040 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 53, 68, 85, 106, 136, 170, 212, 265, 340, 424, 530, 680, 901, 1060, 1802, 2120, 3604, 4505, 7208, 9010, 18020, 36040

Least Common Multiple of 36032 and 36040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36032 and 36040, than apply into the LCM equation.

GCF(36032,36040) = 8
LCM(36032,36040) = ( 36032 × 36040) / 8
LCM(36032,36040) = 1298593280 / 8
LCM(36032,36040) = 162324160

Properties of LCM 36032 and 36040

(i) The LCM of 36040 and 36032 is associative

LCM of 36032 and 36040 = LCM of 36040 and 36032

Related Least Common Multiples of 36032

Related Least Common Multiples of 36040

Frequently Asked Questions on LCM of 36032 and 36040

1. What is the LCM of 36032 and 36040?

Answer: LCM of 36032 and 36040 is 162324160.

2. What are the Factors of 36032?

Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.

3. What are the Factors of 36040?

Answer: Factors of 36040 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 53, 68, 85, 106, 136, 170, 212, 265, 340, 424, 530, 680, 901, 1060, 1802, 2120, 3604, 4505, 7208, 9010, 18020, 36040. There are 32 integers that are factors of 36040. The greatest factor of 36040 is 36040.

4. How to Find the LCM of 36032 and 36040?

Answer:

Least Common Multiple of 36032 and 36040 = 162324160

Step 1: Find the prime factorization of 36032

36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563

Step 2: Find the prime factorization of 36040

36040 = 2 x 2 x 2 x 5 x 17 x 53

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

LCM = 162324160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17 x 53 x 563

Step 4: Therefore, the least common multiple of 36032 and 36040 is 162324160.