Least Common Multiple of 10028 and 10032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10028 and 10032 the smallest integer that is 25150224 that is divisible by both numbers.

Least Common Multiple (LCM) of 10028 and 10032 is 25150224.

LCM(10028,10032) = 25150224

LCM of 10028 and 10032

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

LCM of:
and

Least Common Multiple of 10028 and 10032

LCM of 10028 and 10032 is 25150224

Least common multiple can be found by multiplying the highest exponent prime factors of 10028 and 10032. First we will calculate the prime factors of 10028 and 10032.

Prime Factorization of 10028


2 10028
2 5014
23 2507
109 109
1

Prime factors of 10028 are 2, 23,109. Prime factorization of 10028 in exponential form is:

10028 = 22×231×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10028 and 10032.

LCM(10028,10032) = 24×31×111×191×231×1091
LCM(10028,10032) = 25150224

Factors of 10028

List of positive integer factors of 10028 that divides 10028 without a remainder.

1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014, 10028

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

Least Common Multiple of 10028 and 10032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10028 and 10032, than apply into the LCM equation.

GCF(10028,10032) = 4
LCM(10028,10032) = ( 10028 × 10032) / 4
LCM(10028,10032) = 100600896 / 4
LCM(10028,10032) = 25150224

Properties of LCM 10028 and 10032

(i) The LCM of 10032 and 10028 is associative

LCM of 10028 and 10032 = LCM of 10032 and 10028

Related Least Common Multiples of 10028

Related Least Common Multiples of 10032

Frequently Asked Questions on LCM of 10028 and 10032

1. What is the LCM of 10028 and 10032?

Answer: LCM of 10028 and 10032 is 25150224.

2. What are the Factors of 10028?

Answer: Factors of 10028 are 1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014, 10028. There are 12 integers that are factors of 10028. The greatest factor of 10028 is 10028.

3. 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.

4. How to Find the LCM of 10028 and 10032?

Answer:

Least Common Multiple of 10028 and 10032 = 25150224

Step 1: Find the prime factorization of 10028

10028 = 2 x 2 x 23 x 109

Step 2: Find the prime factorization of 10032

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

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

LCM = 25150224 = 2 x 2 x 2 x 2 x 3 x 11 x 19 x 23 x 109

Step 4: Therefore, the least common multiple of 10028 and 10032 is 25150224.