Least Common Multiple of 10048 and 10055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10048 and 10055 the smallest integer that is 101032640 that is divisible by both numbers.

Least Common Multiple (LCM) of 10048 and 10055 is 101032640.

LCM(10048,10055) = 101032640

LCM of 10048 and 10055

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

LCM of:
and

Least Common Multiple of 10048 and 10055

LCM of 10048 and 10055 is 101032640

Least common multiple can be found by multiplying the highest exponent prime factors of 10048 and 10055. First we will calculate the prime factors of 10048 and 10055.

Prime Factorization of 10048


2 10048
2 5024
2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 10048 are 2,157. Prime factorization of 10048 in exponential form is:

10048 = 26×1571

Prime Factorization of 10055


5 10055
2011 2011
1

Prime factors of 10055 are 5,2011. Prime factorization of 10055 in exponential form is:

10055 = 51×20111

Now multiplying the highest exponent prime factors to calculate the LCM of 10048 and 10055.

LCM(10048,10055) = 26×51×1571×20111
LCM(10048,10055) = 101032640

Factors of 10048

List of positive integer factors of 10048 that divides 10048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 157, 314, 628, 1256, 2512, 5024, 10048

Factors of 10055

List of positive integer factors of 10055 that divides 10055 without a remainder.

1, 5, 2011, 10055

Least Common Multiple of 10048 and 10055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10048 and 10055, than apply into the LCM equation.

GCF(10048,10055) = 1
LCM(10048,10055) = ( 10048 × 10055) / 1
LCM(10048,10055) = 101032640 / 1
LCM(10048,10055) = 101032640

Properties of LCM 10048 and 10055

(i) The LCM of 10055 and 10048 is associative

LCM of 10048 and 10055 = LCM of 10055 and 10048

Related Least Common Multiples of 10048

Related Least Common Multiples of 10055

Frequently Asked Questions on LCM of 10048 and 10055

1. What is the LCM of 10048 and 10055?

Answer: LCM of 10048 and 10055 is 101032640.

2. What are the Factors of 10048?

Answer: Factors of 10048 are 1, 2, 4, 8, 16, 32, 64, 157, 314, 628, 1256, 2512, 5024, 10048. There are 14 integers that are factors of 10048. The greatest factor of 10048 is 10048.

3. What are the Factors of 10055?

Answer: Factors of 10055 are 1, 5, 2011, 10055. There are 4 integers that are factors of 10055. The greatest factor of 10055 is 10055.

4. How to Find the LCM of 10048 and 10055?

Answer:

Least Common Multiple of 10048 and 10055 = 101032640

Step 1: Find the prime factorization of 10048

10048 = 2 x 2 x 2 x 2 x 2 x 2 x 157

Step 2: Find the prime factorization of 10055

10055 = 5 x 2011

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

LCM = 101032640 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 157 x 2011

Step 4: Therefore, the least common multiple of 10048 and 10055 is 101032640.