Least Common Multiple of 39215 and 39221

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

• Least Common Multiple of 39215 and 39221 by Prime method
• Least Common Multiple of 39215 and 39221 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39215 and 39221. First we will calculate the prime factors of 39215 and 39221.

Prime Factorization of 39215

Prime factors of 39215 are 5, 11, 23,31. Prime factorization of 39215 in exponential form is:

39215 = 5¹×11¹×23¹×31¹

Prime Factorization of 39221

Prime factors of 39221 are 7, 13,431. Prime factorization of 39221 in exponential form is:

39221 = 7¹×13¹×431¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39215 and 39221.

LCM(39215,39221) = 5¹×7¹×11¹×13¹×23¹×31¹×431¹
LCM(39215,39221) = 1538051515

Factors of 39215

List of positive integer factors of 39215 that divides 39215 without a remainder.

1, 5, 11, 23, 31, 55, 115, 155, 253, 341, 713, 1265, 1705, 3565, 7843, 39215

Factors of 39221

List of positive integer factors of 39221 that divides 39221 without a remainder.

1, 7, 13, 91, 431, 3017, 5603, 39221

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39215 and 39221, than apply into the LCM equation.

GCF(39215,39221) = 1
LCM(39215,39221) = ( 39215 × 39221) / 1
LCM(39215,39221) = 1538051515 / 1
LCM(39215,39221) = 1538051515

(i) The LCM of 39221 and 39215 is associative

LCM of 39215 and 39221 = LCM of 39221 and 39215

1. What is the LCM of 39215 and 39221?

Answer: LCM of 39215 and 39221 is 1538051515.

2. What are the Factors of 39215?

Answer: Factors of 39215 are 1, 5, 11, 23, 31, 55, 115, 155, 253, 341, 713, 1265, 1705, 3565, 7843, 39215. There are 16 integers that are factors of 39215. The greatest factor of 39215 is 39215.

3. What are the Factors of 39221?

Answer: Factors of 39221 are 1, 7, 13, 91, 431, 3017, 5603, 39221. There are 8 integers that are factors of 39221. The greatest factor of 39221 is 39221.

4. How to Find the LCM of 39215 and 39221?

Answer:

Least Common Multiple of 39215 and 39221 = 1538051515

Step 1: Find the prime factorization of 39215

39215 = 5 x 11 x 23 x 31

Step 2: Find the prime factorization of 39221

39221 = 7 x 13 x 431

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

LCM = 1538051515 = 5 x 7 x 11 x 13 x 23 x 31 x 431

Step 4: Therefore, the least common multiple of 39215 and 39221 is 1538051515.