Least Common Multiple of 10032 and 10039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10032 and 10039 the smallest integer that is 100711248 that is divisible by both numbers.

Least Common Multiple (LCM) of 10032 and 10039 is 100711248.

LCM(10032,10039) = 100711248

LCM of 10032 and 10039

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

LCM of:
and

Least Common Multiple of 10032 and 10039

LCM of 10032 and 10039 is 100711248

Least common multiple can be found by multiplying the highest exponent prime factors of 10032 and 10039. First we will calculate the prime factors of 10032 and 10039.

Prime Factorization of 10032


2 10032
2 5016
2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 10032 are 2, 3, 11,19. Prime factorization of 10032 in exponential form is:

10032 = 24×31×111×191

Prime Factorization of 10039


10039 10039
1

Prime factors of 10039 are 10039. Prime factorization of 10039 in exponential form is:

10039 = 100391

Now multiplying the highest exponent prime factors to calculate the LCM of 10032 and 10039.

LCM(10032,10039) = 24×31×111×191×100391
LCM(10032,10039) = 100711248

Factors of 10032

List of positive integer factors of 10032 that divides 10032 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 33, 38, 44, 48, 57, 66, 76, 88, 114, 132, 152, 176, 209, 228, 264, 304, 418, 456, 528, 627, 836, 912, 1254, 1672, 2508, 3344, 5016, 10032

Factors of 10039

List of positive integer factors of 10039 that divides 10039 without a remainder.

1, 10039

Least Common Multiple of 10032 and 10039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10032 and 10039, than apply into the LCM equation.

GCF(10032,10039) = 1
LCM(10032,10039) = ( 10032 × 10039) / 1
LCM(10032,10039) = 100711248 / 1
LCM(10032,10039) = 100711248

Properties of LCM 10032 and 10039

(i) The LCM of 10039 and 10032 is associative

LCM of 10032 and 10039 = LCM of 10039 and 10032

Related Least Common Multiples of 10032

Related Least Common Multiples of 10039

Frequently Asked Questions on LCM of 10032 and 10039

1. What is the LCM of 10032 and 10039?

Answer: LCM of 10032 and 10039 is 100711248.

2. What are the Factors of 10032?

Answer: Factors of 10032 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 33, 38, 44, 48, 57, 66, 76, 88, 114, 132, 152, 176, 209, 228, 264, 304, 418, 456, 528, 627, 836, 912, 1254, 1672, 2508, 3344, 5016, 10032. There are 40 integers that are factors of 10032. The greatest factor of 10032 is 10032.

3. What are the Factors of 10039?

Answer: Factors of 10039 are 1, 10039. There are 2 integers that are factors of 10039. The greatest factor of 10039 is 10039.

4. How to Find the LCM of 10032 and 10039?

Answer:

Least Common Multiple of 10032 and 10039 = 100711248

Step 1: Find the prime factorization of 10032

10032 = 2 x 2 x 2 x 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 10039

10039 = 10039

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

LCM = 100711248 = 2 x 2 x 2 x 2 x 3 x 11 x 19 x 10039

Step 4: Therefore, the least common multiple of 10032 and 10039 is 100711248.