Least Common Multiple of 39022 and 39027

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

• Least Common Multiple of 39022 and 39027 by Prime method
• Least Common Multiple of 39022 and 39027 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39022 and 39027. First we will calculate the prime factors of 39022 and 39027.

Prime Factorization of 39022

Prime factors of 39022 are 2, 109,179. Prime factorization of 39022 in exponential form is:

39022 = 2¹×109¹×179¹

Prime Factorization of 39027

Prime factors of 39027 are 3,13009. Prime factorization of 39027 in exponential form is:

39027 = 3¹×13009¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39022 and 39027.

LCM(39022,39027) = 2¹×3¹×109¹×179¹×13009¹
LCM(39022,39027) = 1522911594

Factors of 39022

List of positive integer factors of 39022 that divides 39022 without a remainder.

1, 2, 109, 179, 218, 358, 19511, 39022

Factors of 39027

List of positive integer factors of 39027 that divides 39027 without a remainder.

1, 3, 13009, 39027

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39022 and 39027, than apply into the LCM equation.

GCF(39022,39027) = 1
LCM(39022,39027) = ( 39022 × 39027) / 1
LCM(39022,39027) = 1522911594 / 1
LCM(39022,39027) = 1522911594

(i) The LCM of 39027 and 39022 is associative

LCM of 39022 and 39027 = LCM of 39027 and 39022

1. What is the LCM of 39022 and 39027?

Answer: LCM of 39022 and 39027 is 1522911594.

2. What are the Factors of 39022?

Answer: Factors of 39022 are 1, 2, 109, 179, 218, 358, 19511, 39022. There are 8 integers that are factors of 39022. The greatest factor of 39022 is 39022.

3. What are the Factors of 39027?

Answer: Factors of 39027 are 1, 3, 13009, 39027. There are 4 integers that are factors of 39027. The greatest factor of 39027 is 39027.

4. How to Find the LCM of 39022 and 39027?

Answer:

Least Common Multiple of 39022 and 39027 = 1522911594

Step 1: Find the prime factorization of 39022

39022 = 2 x 109 x 179

Step 2: Find the prime factorization of 39027

39027 = 3 x 13009

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

LCM = 1522911594 = 2 x 3 x 109 x 179 x 13009

Step 4: Therefore, the least common multiple of 39022 and 39027 is 1522911594.