Least Common Multiple of 10041 and 10048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10041 and 10048 the smallest integer that is 100891968 that is divisible by both numbers.

Least Common Multiple (LCM) of 10041 and 10048 is 100891968.

LCM(10041,10048) = 100891968

LCM of 10041 and 10048

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

LCM of:
and

Least Common Multiple of 10041 and 10048

LCM of 10041 and 10048 is 100891968

Least common multiple can be found by multiplying the highest exponent prime factors of 10041 and 10048. First we will calculate the prime factors of 10041 and 10048.

Prime Factorization of 10041


3 10041
3347 3347
1

Prime factors of 10041 are 3,3347. Prime factorization of 10041 in exponential form is:

10041 = 31×33471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10041 and 10048.

LCM(10041,10048) = 26×31×1571×33471
LCM(10041,10048) = 100891968

Factors of 10041

List of positive integer factors of 10041 that divides 10041 without a remainder.

1, 3, 3347, 10041

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

Least Common Multiple of 10041 and 10048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10041 and 10048, than apply into the LCM equation.

GCF(10041,10048) = 1
LCM(10041,10048) = ( 10041 × 10048) / 1
LCM(10041,10048) = 100891968 / 1
LCM(10041,10048) = 100891968

Properties of LCM 10041 and 10048

(i) The LCM of 10048 and 10041 is associative

LCM of 10041 and 10048 = LCM of 10048 and 10041

Related Least Common Multiples of 10041

Related Least Common Multiples of 10048

Frequently Asked Questions on LCM of 10041 and 10048

1. What is the LCM of 10041 and 10048?

Answer: LCM of 10041 and 10048 is 100891968.

2. What are the Factors of 10041?

Answer: Factors of 10041 are 1, 3, 3347, 10041. There are 4 integers that are factors of 10041. The greatest factor of 10041 is 10041.

3. 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.

4. How to Find the LCM of 10041 and 10048?

Answer:

Least Common Multiple of 10041 and 10048 = 100891968

Step 1: Find the prime factorization of 10041

10041 = 3 x 3347

Step 2: Find the prime factorization of 10048

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

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

LCM = 100891968 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 157 x 3347

Step 4: Therefore, the least common multiple of 10041 and 10048 is 100891968.