Least Common Multiple of 10018 and 10023

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

• Least Common Multiple of 10018 and 10023 by Prime method
• Least Common Multiple of 10018 and 10023 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10018 and 10023. First we will calculate the prime factors of 10018 and 10023.

Prime Factorization of 10018

Prime factors of 10018 are 2,5009. Prime factorization of 10018 in exponential form is:

10018 = 2¹×5009¹

Prime Factorization of 10023

Prime factors of 10023 are 3, 13,257. Prime factorization of 10023 in exponential form is:

10023 = 3¹×13¹×257¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10018 and 10023.

LCM(10018,10023) = 2¹×3¹×13¹×257¹×5009¹
LCM(10018,10023) = 100410414

Factors of 10018

List of positive integer factors of 10018 that divides 10018 without a remainder.

1, 2, 5009, 10018

Factors of 10023

List of positive integer factors of 10023 that divides 10023 without a remainder.

1, 3, 13, 39, 257, 771, 3341, 10023

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10018 and 10023, than apply into the LCM equation.

GCF(10018,10023) = 1
LCM(10018,10023) = ( 10018 × 10023) / 1
LCM(10018,10023) = 100410414 / 1
LCM(10018,10023) = 100410414

(i) The LCM of 10023 and 10018 is associative

LCM of 10018 and 10023 = LCM of 10023 and 10018

1. What is the LCM of 10018 and 10023?

Answer: LCM of 10018 and 10023 is 100410414.

2. What are the Factors of 10018?

Answer: Factors of 10018 are 1, 2, 5009, 10018. There are 4 integers that are factors of 10018. The greatest factor of 10018 is 10018.

3. What are the Factors of 10023?

Answer: Factors of 10023 are 1, 3, 13, 39, 257, 771, 3341, 10023. There are 8 integers that are factors of 10023. The greatest factor of 10023 is 10023.

4. How to Find the LCM of 10018 and 10023?

Answer:

Least Common Multiple of 10018 and 10023 = 100410414

Step 1: Find the prime factorization of 10018

10018 = 2 x 5009

Step 2: Find the prime factorization of 10023

10023 = 3 x 13 x 257

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

LCM = 100410414 = 2 x 3 x 13 x 257 x 5009

Step 4: Therefore, the least common multiple of 10018 and 10023 is 100410414.