Least Common Multiple of 30032 and 30039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30032 and 30039 the smallest integer that is 902131248 that is divisible by both numbers.

Least Common Multiple (LCM) of 30032 and 30039 is 902131248.

LCM(30032,30039) = 902131248

LCM of 30032 and 30039

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

LCM of:
and

Least Common Multiple of 30032 and 30039

LCM of 30032 and 30039 is 902131248

Least common multiple can be found by multiplying the highest exponent prime factors of 30032 and 30039. First we will calculate the prime factors of 30032 and 30039.

Prime Factorization of 30032


2 30032
2 15016
2 7508
2 3754
1877 1877
1

Prime factors of 30032 are 2,1877. Prime factorization of 30032 in exponential form is:

30032 = 24×18771

Prime Factorization of 30039


3 30039
17 10013
19 589
31 31
1

Prime factors of 30039 are 3, 17, 19,31. Prime factorization of 30039 in exponential form is:

30039 = 31×171×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 30032 and 30039.

LCM(30032,30039) = 24×31×171×191×311×18771
LCM(30032,30039) = 902131248

Factors of 30032

List of positive integer factors of 30032 that divides 30032 without a remainder.

1, 2, 4, 8, 16, 1877, 3754, 7508, 15016, 30032

Factors of 30039

List of positive integer factors of 30039 that divides 30039 without a remainder.

1, 3, 17, 19, 31, 51, 57, 93, 323, 527, 589, 969, 1581, 1767, 10013, 30039

Least Common Multiple of 30032 and 30039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30032 and 30039, than apply into the LCM equation.

GCF(30032,30039) = 1
LCM(30032,30039) = ( 30032 × 30039) / 1
LCM(30032,30039) = 902131248 / 1
LCM(30032,30039) = 902131248

Properties of LCM 30032 and 30039

(i) The LCM of 30039 and 30032 is associative

LCM of 30032 and 30039 = LCM of 30039 and 30032

Related Least Common Multiples of 30032

Related Least Common Multiples of 30039

Frequently Asked Questions on LCM of 30032 and 30039

1. What is the LCM of 30032 and 30039?

Answer: LCM of 30032 and 30039 is 902131248.

2. What are the Factors of 30032?

Answer: Factors of 30032 are 1, 2, 4, 8, 16, 1877, 3754, 7508, 15016, 30032. There are 10 integers that are factors of 30032. The greatest factor of 30032 is 30032.

3. What are the Factors of 30039?

Answer: Factors of 30039 are 1, 3, 17, 19, 31, 51, 57, 93, 323, 527, 589, 969, 1581, 1767, 10013, 30039. There are 16 integers that are factors of 30039. The greatest factor of 30039 is 30039.

4. How to Find the LCM of 30032 and 30039?

Answer:

Least Common Multiple of 30032 and 30039 = 902131248

Step 1: Find the prime factorization of 30032

30032 = 2 x 2 x 2 x 2 x 1877

Step 2: Find the prime factorization of 30039

30039 = 3 x 17 x 19 x 31

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

LCM = 902131248 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 31 x 1877

Step 4: Therefore, the least common multiple of 30032 and 30039 is 902131248.