Least Common Multiple of 39237 and 39242

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

• Least Common Multiple of 39237 and 39242 by Prime method
• Least Common Multiple of 39237 and 39242 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39237 and 39242. First we will calculate the prime factors of 39237 and 39242.

Prime Factorization of 39237

Prime factors of 39237 are 3, 11, 29,41. Prime factorization of 39237 in exponential form is:

39237 = 3¹×11¹×29¹×41¹

Prime Factorization of 39242

Prime factors of 39242 are 2, 7,2803. Prime factorization of 39242 in exponential form is:

39242 = 2¹×7¹×2803¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39237 and 39242.

LCM(39237,39242) = 2¹×3¹×7¹×11¹×29¹×41¹×2803¹
LCM(39237,39242) = 1539738354

Factors of 39237

List of positive integer factors of 39237 that divides 39237 without a remainder.

1, 3, 11, 29, 33, 41, 87, 123, 319, 451, 957, 1189, 1353, 3567, 13079, 39237

Factors of 39242

List of positive integer factors of 39242 that divides 39242 without a remainder.

1, 2, 7, 14, 2803, 5606, 19621, 39242

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39237 and 39242, than apply into the LCM equation.

GCF(39237,39242) = 1
LCM(39237,39242) = ( 39237 × 39242) / 1
LCM(39237,39242) = 1539738354 / 1
LCM(39237,39242) = 1539738354

(i) The LCM of 39242 and 39237 is associative

LCM of 39237 and 39242 = LCM of 39242 and 39237

1. What is the LCM of 39237 and 39242?

Answer: LCM of 39237 and 39242 is 1539738354.

2. What are the Factors of 39237?

Answer: Factors of 39237 are 1, 3, 11, 29, 33, 41, 87, 123, 319, 451, 957, 1189, 1353, 3567, 13079, 39237. There are 16 integers that are factors of 39237. The greatest factor of 39237 is 39237.

3. What are the Factors of 39242?

Answer: Factors of 39242 are 1, 2, 7, 14, 2803, 5606, 19621, 39242. There are 8 integers that are factors of 39242. The greatest factor of 39242 is 39242.

4. How to Find the LCM of 39237 and 39242?

Answer:

Least Common Multiple of 39237 and 39242 = 1539738354

Step 1: Find the prime factorization of 39237

39237 = 3 x 11 x 29 x 41

Step 2: Find the prime factorization of 39242

39242 = 2 x 7 x 2803

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

LCM = 1539738354 = 2 x 3 x 7 x 11 x 29 x 41 x 2803

Step 4: Therefore, the least common multiple of 39237 and 39242 is 1539738354.