Least Common Multiple of 36032 and 36039

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 36039 the smallest integer that is 1298557248 that is divisible by both numbers.

Least Common Multiple (LCM) of 36032 and 36039 is 1298557248.

LCM(36032,36039) = 1298557248

LCM of 36032 and 36039

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

LCM of:
and

Least Common Multiple of 36032 and 36039

LCM of 36032 and 36039 is 1298557248

Least common multiple can be found by multiplying the highest exponent prime factors of 36032 and 36039. First we will calculate the prime factors of 36032 and 36039.

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 36039


3 36039
41 12013
293 293
1

Prime factors of 36039 are 3, 41,293. Prime factorization of 36039 in exponential form is:

36039 = 31×411×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 36032 and 36039.

LCM(36032,36039) = 26×31×411×2931×5631
LCM(36032,36039) = 1298557248

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 36039

List of positive integer factors of 36039 that divides 36039 without a remainder.

1, 3, 41, 123, 293, 879, 12013, 36039

Least Common Multiple of 36032 and 36039 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 36039, than apply into the LCM equation.

GCF(36032,36039) = 1
LCM(36032,36039) = ( 36032 × 36039) / 1
LCM(36032,36039) = 1298557248 / 1
LCM(36032,36039) = 1298557248

Properties of LCM 36032 and 36039

(i) The LCM of 36039 and 36032 is associative

LCM of 36032 and 36039 = LCM of 36039 and 36032

Related Least Common Multiples of 36032

Related Least Common Multiples of 36039

Frequently Asked Questions on LCM of 36032 and 36039

1. What is the LCM of 36032 and 36039?

Answer: LCM of 36032 and 36039 is 1298557248.

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 36039?

Answer: Factors of 36039 are 1, 3, 41, 123, 293, 879, 12013, 36039. There are 8 integers that are factors of 36039. The greatest factor of 36039 is 36039.

4. How to Find the LCM of 36032 and 36039?

Answer:

Least Common Multiple of 36032 and 36039 = 1298557248

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 36039

36039 = 3 x 41 x 293

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

LCM = 1298557248 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41 x 293 x 563

Step 4: Therefore, the least common multiple of 36032 and 36039 is 1298557248.