Least Common Multiple of 39023 and 39028

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

• Least Common Multiple of 39023 and 39028 by Prime method
• Least Common Multiple of 39023 and 39028 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39023 and 39028. First we will calculate the prime factors of 39023 and 39028.

Prime Factorization of 39023

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

39023 = 39023¹

Prime Factorization of 39028

Prime factors of 39028 are 2, 11,887. Prime factorization of 39028 in exponential form is:

39028 = 2²×11¹×887¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39023 and 39028.

LCM(39023,39028) = 2²×11¹×887¹×39023¹
LCM(39023,39028) = 1522989644

Factors of 39023

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

1, 39023

Factors of 39028

List of positive integer factors of 39028 that divides 39028 without a remainder.

1, 2, 4, 11, 22, 44, 887, 1774, 3548, 9757, 19514, 39028

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39023 and 39028, than apply into the LCM equation.

GCF(39023,39028) = 1
LCM(39023,39028) = ( 39023 × 39028) / 1
LCM(39023,39028) = 1522989644 / 1
LCM(39023,39028) = 1522989644

(i) The LCM of 39028 and 39023 is associative

LCM of 39023 and 39028 = LCM of 39028 and 39023

1. What is the LCM of 39023 and 39028?

Answer: LCM of 39023 and 39028 is 1522989644.

2. 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.

3. What are the Factors of 39028?

Answer: Factors of 39028 are 1, 2, 4, 11, 22, 44, 887, 1774, 3548, 9757, 19514, 39028. There are 12 integers that are factors of 39028. The greatest factor of 39028 is 39028.

4. How to Find the LCM of 39023 and 39028?

Answer:

Least Common Multiple of 39023 and 39028 = 1522989644

Step 1: Find the prime factorization of 39023

39023 = 39023

Step 2: Find the prime factorization of 39028

39028 = 2 x 2 x 11 x 887

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

LCM = 1522989644 = 2 x 2 x 11 x 887 x 39023

Step 4: Therefore, the least common multiple of 39023 and 39028 is 1522989644.