Least Common Multiple of 39215 and 39219

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

• Least Common Multiple of 39215 and 39219 by Prime method
• Least Common Multiple of 39215 and 39219 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39215 and 39219. First we will calculate the prime factors of 39215 and 39219.

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 39219

Prime factors of 39219 are 3, 17,769. Prime factorization of 39219 in exponential form is:

39219 = 3¹×17¹×769¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39215 and 39219.

LCM(39215,39219) = 3¹×5¹×11¹×17¹×23¹×31¹×769¹
LCM(39215,39219) = 1537973085

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 39219

List of positive integer factors of 39219 that divides 39219 without a remainder.

1, 3, 17, 51, 769, 2307, 13073, 39219

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39215 and 39219, than apply into the LCM equation.

GCF(39215,39219) = 1
LCM(39215,39219) = ( 39215 × 39219) / 1
LCM(39215,39219) = 1537973085 / 1
LCM(39215,39219) = 1537973085

(i) The LCM of 39219 and 39215 is associative

LCM of 39215 and 39219 = LCM of 39219 and 39215

1. What is the LCM of 39215 and 39219?

Answer: LCM of 39215 and 39219 is 1537973085.

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 39219?

Answer: Factors of 39219 are 1, 3, 17, 51, 769, 2307, 13073, 39219. There are 8 integers that are factors of 39219. The greatest factor of 39219 is 39219.

4. How to Find the LCM of 39215 and 39219?

Answer:

Least Common Multiple of 39215 and 39219 = 1537973085

Step 1: Find the prime factorization of 39215

39215 = 5 x 11 x 23 x 31

Step 2: Find the prime factorization of 39219

39219 = 3 x 17 x 769

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

LCM = 1537973085 = 3 x 5 x 11 x 17 x 23 x 31 x 769

Step 4: Therefore, the least common multiple of 39215 and 39219 is 1537973085.