Least Common Multiple of 309411 and 309419

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

• Least Common Multiple of 309411 and 309419 by Prime method
• Least Common Multiple of 309411 and 309419 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 309411 and 309419. First we will calculate the prime factors of 309411 and 309419.

Prime Factorization of 309411

Prime factors of 309411 are 3, 31,1109. Prime factorization of 309411 in exponential form is:

309411 = 3²×31¹×1109¹

Prime Factorization of 309419

Prime factors of 309419 are 11, 23,1223. Prime factorization of 309419 in exponential form is:

309419 = 11¹×23¹×1223¹

Now multiplying the highest exponent prime factors to calculate the LCM of 309411 and 309419.

LCM(309411,309419) = 3²×11¹×23¹×31¹×1109¹×1223¹
LCM(309411,309419) = 95737642209

Factors of 309411

List of positive integer factors of 309411 that divides 309411 without a remainder.

1, 3, 9, 31, 93, 279, 1109, 3327, 9981, 34379, 103137, 309411

Factors of 309419

List of positive integer factors of 309419 that divides 309419 without a remainder.

1, 11, 23, 253, 1223, 13453, 28129, 309419

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309411 and 309419, than apply into the LCM equation.

GCF(309411,309419) = 1
LCM(309411,309419) = ( 309411 × 309419) / 1
LCM(309411,309419) = 95737642209 / 1
LCM(309411,309419) = 95737642209

(i) The LCM of 309419 and 309411 is associative

LCM of 309411 and 309419 = LCM of 309419 and 309411

1. What is the LCM of 309411 and 309419?

Answer: LCM of 309411 and 309419 is 95737642209.

2. What are the Factors of 309411?

Answer: Factors of 309411 are 1, 3, 9, 31, 93, 279, 1109, 3327, 9981, 34379, 103137, 309411. There are 12 integers that are factors of 309411. The greatest factor of 309411 is 309411.

3. What are the Factors of 309419?

Answer: Factors of 309419 are 1, 11, 23, 253, 1223, 13453, 28129, 309419. There are 8 integers that are factors of 309419. The greatest factor of 309419 is 309419.

4. How to Find the LCM of 309411 and 309419?

Answer:

Least Common Multiple of 309411 and 309419 = 95737642209

Step 1: Find the prime factorization of 309411

309411 = 3 x 3 x 31 x 1109

Step 2: Find the prime factorization of 309419

309419 = 11 x 23 x 1223

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

LCM = 95737642209 = 3 x 3 x 11 x 23 x 31 x 1109 x 1223

Step 4: Therefore, the least common multiple of 309411 and 309419 is 95737642209.