Least Common Multiple of 39018 and 39023

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

• Least Common Multiple of 39018 and 39023 by Prime method
• Least Common Multiple of 39018 and 39023 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39018 and 39023. First we will calculate the prime factors of 39018 and 39023.

Prime Factorization of 39018

Prime factors of 39018 are 2, 3, 7,929. Prime factorization of 39018 in exponential form is:

39018 = 2¹×3¹×7¹×929¹

Prime Factorization of 39023

Prime factors of 39023 are 39023. Prime factorization of 39023 in exponential form is:

39023 = 39023¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39018 and 39023.

LCM(39018,39023) = 2¹×3¹×7¹×929¹×39023¹
LCM(39018,39023) = 1522599414

Factors of 39018

List of positive integer factors of 39018 that divides 39018 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 929, 1858, 2787, 5574, 6503, 13006, 19509, 39018

Factors of 39023

List of positive integer factors of 39023 that divides 39023 without a remainder.

1, 39023

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39018 and 39023, than apply into the LCM equation.

GCF(39018,39023) = 1
LCM(39018,39023) = ( 39018 × 39023) / 1
LCM(39018,39023) = 1522599414 / 1
LCM(39018,39023) = 1522599414

(i) The LCM of 39023 and 39018 is associative

LCM of 39018 and 39023 = LCM of 39023 and 39018

1. What is the LCM of 39018 and 39023?

Answer: LCM of 39018 and 39023 is 1522599414.

2. What are the Factors of 39018?

Answer: Factors of 39018 are 1, 2, 3, 6, 7, 14, 21, 42, 929, 1858, 2787, 5574, 6503, 13006, 19509, 39018. There are 16 integers that are factors of 39018. The greatest factor of 39018 is 39018.

3. What are the Factors of 39023?

Answer: Factors of 39023 are 1, 39023. There are 2 integers that are factors of 39023. The greatest factor of 39023 is 39023.

4. How to Find the LCM of 39018 and 39023?

Answer:

Least Common Multiple of 39018 and 39023 = 1522599414

Step 1: Find the prime factorization of 39018

39018 = 2 x 3 x 7 x 929

Step 2: Find the prime factorization of 39023

39023 = 39023

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

LCM = 1522599414 = 2 x 3 x 7 x 929 x 39023

Step 4: Therefore, the least common multiple of 39018 and 39023 is 1522599414.