Least Common Multiple of 39234 and 39239

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

• Least Common Multiple of 39234 and 39239 by Prime method
• Least Common Multiple of 39234 and 39239 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39234 and 39239. First we will calculate the prime factors of 39234 and 39239.

Prime Factorization of 39234

Prime factors of 39234 are 2, 3, 13,503. Prime factorization of 39234 in exponential form is:

39234 = 2¹×3¹×13¹×503¹

Prime Factorization of 39239

Prime factors of 39239 are 39239. Prime factorization of 39239 in exponential form is:

39239 = 39239¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39234 and 39239.

LCM(39234,39239) = 2¹×3¹×13¹×503¹×39239¹
LCM(39234,39239) = 1539502926

Factors of 39234

List of positive integer factors of 39234 that divides 39234 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 503, 1006, 1509, 3018, 6539, 13078, 19617, 39234

Factors of 39239

List of positive integer factors of 39239 that divides 39239 without a remainder.

1, 39239

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39234 and 39239, than apply into the LCM equation.

GCF(39234,39239) = 1
LCM(39234,39239) = ( 39234 × 39239) / 1
LCM(39234,39239) = 1539502926 / 1
LCM(39234,39239) = 1539502926

(i) The LCM of 39239 and 39234 is associative

LCM of 39234 and 39239 = LCM of 39239 and 39234

1. What is the LCM of 39234 and 39239?

Answer: LCM of 39234 and 39239 is 1539502926.

2. What are the Factors of 39234?

Answer: Factors of 39234 are 1, 2, 3, 6, 13, 26, 39, 78, 503, 1006, 1509, 3018, 6539, 13078, 19617, 39234. There are 16 integers that are factors of 39234. The greatest factor of 39234 is 39234.

3. What are the Factors of 39239?

Answer: Factors of 39239 are 1, 39239. There are 2 integers that are factors of 39239. The greatest factor of 39239 is 39239.

4. How to Find the LCM of 39234 and 39239?

Answer:

Least Common Multiple of 39234 and 39239 = 1539502926

Step 1: Find the prime factorization of 39234

39234 = 2 x 3 x 13 x 503

Step 2: Find the prime factorization of 39239

39239 = 39239

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

LCM = 1539502926 = 2 x 3 x 13 x 503 x 39239

Step 4: Therefore, the least common multiple of 39234 and 39239 is 1539502926.