Least Common Multiple of 39234 and 39241

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

• Least Common Multiple of 39234 and 39241 by Prime method
• Least Common Multiple of 39234 and 39241 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39234 and 39241. First we will calculate the prime factors of 39234 and 39241.

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 39241

Prime factors of 39241 are 39241. Prime factorization of 39241 in exponential form is:

39241 = 39241¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39234 and 39241.

LCM(39234,39241) = 2¹×3¹×13¹×503¹×39241¹
LCM(39234,39241) = 1539581394

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 39241

List of positive integer factors of 39241 that divides 39241 without a remainder.

1, 39241

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39234 and 39241, than apply into the LCM equation.

GCF(39234,39241) = 1
LCM(39234,39241) = ( 39234 × 39241) / 1
LCM(39234,39241) = 1539581394 / 1
LCM(39234,39241) = 1539581394

(i) The LCM of 39241 and 39234 is associative

LCM of 39234 and 39241 = LCM of 39241 and 39234

1. What is the LCM of 39234 and 39241?

Answer: LCM of 39234 and 39241 is 1539581394.

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 39241?

Answer: Factors of 39241 are 1, 39241. There are 2 integers that are factors of 39241. The greatest factor of 39241 is 39241.

4. How to Find the LCM of 39234 and 39241?

Answer:

Least Common Multiple of 39234 and 39241 = 1539581394

Step 1: Find the prime factorization of 39234

39234 = 2 x 3 x 13 x 503

Step 2: Find the prime factorization of 39241

39241 = 39241

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

LCM = 1539581394 = 2 x 3 x 13 x 503 x 39241

Step 4: Therefore, the least common multiple of 39234 and 39241 is 1539581394.