Least Common Multiple of 309409 and 309411

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

• Least Common Multiple of 309409 and 309411 by Prime method
• Least Common Multiple of 309409 and 309411 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 309409 and 309411. First we will calculate the prime factors of 309409 and 309411.

Prime Factorization of 309409

Prime factors of 309409 are 277,1117. Prime factorization of 309409 in exponential form is:

309409 = 277¹×1117¹

Prime Factorization of 309411

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

309411 = 3²×31¹×1109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 309409 and 309411.

LCM(309409,309411) = 3²×31¹×277¹×1109¹×1117¹
LCM(309409,309411) = 95734548099

Factors of 309409

List of positive integer factors of 309409 that divides 309409 without a remainder.

1, 277, 1117, 309409

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309409 and 309411, than apply into the LCM equation.

GCF(309409,309411) = 1
LCM(309409,309411) = ( 309409 × 309411) / 1
LCM(309409,309411) = 95734548099 / 1
LCM(309409,309411) = 95734548099

(i) The LCM of 309411 and 309409 is associative

LCM of 309409 and 309411 = LCM of 309411 and 309409

1. What is the LCM of 309409 and 309411?

Answer: LCM of 309409 and 309411 is 95734548099.

2. What are the Factors of 309409?

Answer: Factors of 309409 are 1, 277, 1117, 309409. There are 4 integers that are factors of 309409. The greatest factor of 309409 is 309409.

3. 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.

4. How to Find the LCM of 309409 and 309411?

Answer:

Least Common Multiple of 309409 and 309411 = 95734548099

Step 1: Find the prime factorization of 309409

309409 = 277 x 1117

Step 2: Find the prime factorization of 309411

309411 = 3 x 3 x 31 x 1109

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

LCM = 95734548099 = 3 x 3 x 31 x 277 x 1109 x 1117

Step 4: Therefore, the least common multiple of 309409 and 309411 is 95734548099.