Least Common Multiple of 10042 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 10042 and 10046 the smallest integer that is 50440966 that is divisible by both numbers.

Least Common Multiple (LCM) of 10042 and 10046 is 50440966.

LCM(10042,10046) = 50440966

LCM of 10042 and 10046

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

LCM of:
and

Least Common Multiple of 10042 and 10046

LCM of 10042 and 10046 is 50440966

Least common multiple can be found by multiplying the highest exponent prime factors of 10042 and 10046. First we will calculate the prime factors of 10042 and 10046.

Prime Factorization of 10042


2 10042
5021 5021
1

Prime factors of 10042 are 2,5021. Prime factorization of 10042 in exponential form is:

10042 = 21×50211

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 10042 and 10046.

LCM(10042,10046) = 21×50211×50231
LCM(10042,10046) = 50440966

Factors of 10042

List of positive integer factors of 10042 that divides 10042 without a remainder.

1, 2, 5021, 10042

Factors of 10046

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

1, 2, 5023, 10046

Least Common Multiple of 10042 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 10042 and 10046, than apply into the LCM equation.

GCF(10042,10046) = 2
LCM(10042,10046) = ( 10042 × 10046) / 2
LCM(10042,10046) = 100881932 / 2
LCM(10042,10046) = 50440966

Properties of LCM 10042 and 10046

(i) The LCM of 10046 and 10042 is associative

LCM of 10042 and 10046 = LCM of 10046 and 10042

Related Least Common Multiples of 10042

Related Least Common Multiples of 10046

Frequently Asked Questions on LCM of 10042 and 10046

1. What is the LCM of 10042 and 10046?

Answer: LCM of 10042 and 10046 is 50440966.

2. What are the Factors of 10042?

Answer: Factors of 10042 are 1, 2, 5021, 10042. There are 4 integers that are factors of 10042. The greatest factor of 10042 is 10042.

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 10042 and 10046?

Answer:

Least Common Multiple of 10042 and 10046 = 50440966

Step 1: Find the prime factorization of 10042

10042 = 2 x 5021

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 = 50440966 = 2 x 5021 x 5023

Step 4: Therefore, the least common multiple of 10042 and 10046 is 50440966.