Least Common Multiple of 10041 and 10046

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 10046 the smallest integer that is 100871886 that is divisible by both numbers.

Least Common Multiple (LCM) of 10041 and 10046 is 100871886.

LCM(10041,10046) = 100871886

LCM of 10041 and 10046

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

LCM of:
and

Least Common Multiple of 10041 and 10046

LCM of 10041 and 10046 is 100871886

Least common multiple can be found by multiplying the highest exponent prime factors of 10041 and 10046. First we will calculate the prime factors of 10041 and 10046.

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 10046


2 10046
5023 5023
1

Prime factors of 10046 are 2,5023. Prime factorization of 10046 in exponential form is:

10046 = 21×50231

Now multiplying the highest exponent prime factors to calculate the LCM of 10041 and 10046.

LCM(10041,10046) = 21×31×33471×50231
LCM(10041,10046) = 100871886

Factors of 10041

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

1, 3, 3347, 10041

Factors of 10046

List of positive integer factors of 10046 that divides 10046 without a remainder.

1, 2, 5023, 10046

Least Common Multiple of 10041 and 10046 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 10046, than apply into the LCM equation.

GCF(10041,10046) = 1
LCM(10041,10046) = ( 10041 × 10046) / 1
LCM(10041,10046) = 100871886 / 1
LCM(10041,10046) = 100871886

Properties of LCM 10041 and 10046

(i) The LCM of 10046 and 10041 is associative

LCM of 10041 and 10046 = LCM of 10046 and 10041

Related Least Common Multiples of 10041

Related Least Common Multiples of 10046

Frequently Asked Questions on LCM of 10041 and 10046

1. What is the LCM of 10041 and 10046?

Answer: LCM of 10041 and 10046 is 100871886.

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 10046?

Answer: Factors of 10046 are 1, 2, 5023, 10046. There are 4 integers that are factors of 10046. The greatest factor of 10046 is 10046.

4. How to Find the LCM of 10041 and 10046?

Answer:

Least Common Multiple of 10041 and 10046 = 100871886

Step 1: Find the prime factorization of 10041

10041 = 3 x 3347

Step 2: Find the prime factorization of 10046

10046 = 2 x 5023

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

LCM = 100871886 = 2 x 3 x 3347 x 5023

Step 4: Therefore, the least common multiple of 10041 and 10046 is 100871886.