Least Common Multiple of 39219 and 39226

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

• Least Common Multiple of 39219 and 39226 by Prime method
• Least Common Multiple of 39219 and 39226 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39219 and 39226. First we will calculate the prime factors of 39219 and 39226.

Prime Factorization of 39219

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

39219 = 3¹×17¹×769¹

Prime Factorization of 39226

Prime factors of 39226 are 2, 11,1783. Prime factorization of 39226 in exponential form is:

39226 = 2¹×11¹×1783¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39219 and 39226.

LCM(39219,39226) = 2¹×3¹×11¹×17¹×769¹×1783¹
LCM(39219,39226) = 1538404494

Factors of 39219

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

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

Factors of 39226

List of positive integer factors of 39226 that divides 39226 without a remainder.

1, 2, 11, 22, 1783, 3566, 19613, 39226

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39219 and 39226, than apply into the LCM equation.

GCF(39219,39226) = 1
LCM(39219,39226) = ( 39219 × 39226) / 1
LCM(39219,39226) = 1538404494 / 1
LCM(39219,39226) = 1538404494

(i) The LCM of 39226 and 39219 is associative

LCM of 39219 and 39226 = LCM of 39226 and 39219

1. What is the LCM of 39219 and 39226?

Answer: LCM of 39219 and 39226 is 1538404494.

2. 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.

3. What are the Factors of 39226?

Answer: Factors of 39226 are 1, 2, 11, 22, 1783, 3566, 19613, 39226. There are 8 integers that are factors of 39226. The greatest factor of 39226 is 39226.

4. How to Find the LCM of 39219 and 39226?

Answer:

Least Common Multiple of 39219 and 39226 = 1538404494

Step 1: Find the prime factorization of 39219

39219 = 3 x 17 x 769

Step 2: Find the prime factorization of 39226

39226 = 2 x 11 x 1783

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

LCM = 1538404494 = 2 x 3 x 11 x 17 x 769 x 1783

Step 4: Therefore, the least common multiple of 39219 and 39226 is 1538404494.