Least Common Multiple of 39229 and 39234

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

• Least Common Multiple of 39229 and 39234 by Prime method
• Least Common Multiple of 39229 and 39234 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39229 and 39234. First we will calculate the prime factors of 39229 and 39234.

Prime Factorization of 39229

Prime factors of 39229 are 39229. Prime factorization of 39229 in exponential form is:

39229 = 39229¹

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 39229 and 39234.

LCM(39229,39234) = 2¹×3¹×13¹×503¹×39229¹
LCM(39229,39234) = 1539110586

Factors of 39229

List of positive integer factors of 39229 that divides 39229 without a remainder.

1, 39229

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 39229 and 39234, than apply into the LCM equation.

GCF(39229,39234) = 1
LCM(39229,39234) = ( 39229 × 39234) / 1
LCM(39229,39234) = 1539110586 / 1
LCM(39229,39234) = 1539110586

(i) The LCM of 39234 and 39229 is associative

LCM of 39229 and 39234 = LCM of 39234 and 39229

1. What is the LCM of 39229 and 39234?

Answer: LCM of 39229 and 39234 is 1539110586.

2. What are the Factors of 39229?

Answer: Factors of 39229 are 1, 39229. There are 2 integers that are factors of 39229. The greatest factor of 39229 is 39229.

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 39229 and 39234?

Answer:

Least Common Multiple of 39229 and 39234 = 1539110586

Step 1: Find the prime factorization of 39229

39229 = 39229

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 = 1539110586 = 2 x 3 x 13 x 503 x 39229

Step 4: Therefore, the least common multiple of 39229 and 39234 is 1539110586.