Least Common Multiple of 39230 and 39234

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

• Least Common Multiple of 39230 and 39234 by Prime method
• Least Common Multiple of 39230 and 39234 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39230 and 39234. First we will calculate the prime factors of 39230 and 39234.

Prime Factorization of 39230

Prime factors of 39230 are 2, 5,3923. Prime factorization of 39230 in exponential form is:

39230 = 2¹×5¹×3923¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 39230 and 39234.

LCM(39230,39234) = 2¹×3¹×5¹×13¹×503¹×3923¹
LCM(39230,39234) = 769574910

Factors of 39230

List of positive integer factors of 39230 that divides 39230 without a remainder.

1, 2, 5, 10, 3923, 7846, 19615, 39230

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39230 and 39234, than apply into the LCM equation.

GCF(39230,39234) = 2
LCM(39230,39234) = ( 39230 × 39234) / 2
LCM(39230,39234) = 1539149820 / 2
LCM(39230,39234) = 769574910

(i) The LCM of 39234 and 39230 is associative

LCM of 39230 and 39234 = LCM of 39234 and 39230

1. What is the LCM of 39230 and 39234?

Answer: LCM of 39230 and 39234 is 769574910.

2. What are the Factors of 39230?

Answer: Factors of 39230 are 1, 2, 5, 10, 3923, 7846, 19615, 39230. There are 8 integers that are factors of 39230. The greatest factor of 39230 is 39230.

3. 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.

4. How to Find the LCM of 39230 and 39234?

Answer:

Least Common Multiple of 39230 and 39234 = 769574910

Step 1: Find the prime factorization of 39230

39230 = 2 x 5 x 3923

Step 2: Find the prime factorization of 39234

39234 = 2 x 3 x 13 x 503

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

LCM = 769574910 = 2 x 3 x 5 x 13 x 503 x 3923

Step 4: Therefore, the least common multiple of 39230 and 39234 is 769574910.