Least Common Multiple of 39227 and 39235

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

• Least Common Multiple of 39227 and 39235 by Prime method
• Least Common Multiple of 39227 and 39235 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39227 and 39235. First we will calculate the prime factors of 39227 and 39235.

Prime Factorization of 39227

Prime factors of 39227 are 39227. Prime factorization of 39227 in exponential form is:

39227 = 39227¹

Prime Factorization of 39235

Prime factors of 39235 are 5, 7, 19,59. Prime factorization of 39235 in exponential form is:

39235 = 5¹×7¹×19¹×59¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39227 and 39235.

LCM(39227,39235) = 5¹×7¹×19¹×59¹×39227¹
LCM(39227,39235) = 1539071345

Factors of 39227

List of positive integer factors of 39227 that divides 39227 without a remainder.

1, 39227

Factors of 39235

List of positive integer factors of 39235 that divides 39235 without a remainder.

1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847, 39235

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39227 and 39235, than apply into the LCM equation.

GCF(39227,39235) = 1
LCM(39227,39235) = ( 39227 × 39235) / 1
LCM(39227,39235) = 1539071345 / 1
LCM(39227,39235) = 1539071345

(i) The LCM of 39235 and 39227 is associative

LCM of 39227 and 39235 = LCM of 39235 and 39227

1. What is the LCM of 39227 and 39235?

Answer: LCM of 39227 and 39235 is 1539071345.

2. What are the Factors of 39227?

Answer: Factors of 39227 are 1, 39227. There are 2 integers that are factors of 39227. The greatest factor of 39227 is 39227.

3. What are the Factors of 39235?

Answer: Factors of 39235 are 1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847, 39235. There are 16 integers that are factors of 39235. The greatest factor of 39235 is 39235.

4. How to Find the LCM of 39227 and 39235?

Answer:

Least Common Multiple of 39227 and 39235 = 1539071345

Step 1: Find the prime factorization of 39227

39227 = 39227

Step 2: Find the prime factorization of 39235

39235 = 5 x 7 x 19 x 59

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

LCM = 1539071345 = 5 x 7 x 19 x 59 x 39227

Step 4: Therefore, the least common multiple of 39227 and 39235 is 1539071345.