Least Common Multiple of 306409 and 306410

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

• Least Common Multiple of 306409 and 306410 by Prime method
• Least Common Multiple of 306409 and 306410 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306409 and 306410. First we will calculate the prime factors of 306409 and 306410.

Prime Factorization of 306409

Prime factors of 306409 are 131,2339. Prime factorization of 306409 in exponential form is:

306409 = 131¹×2339¹

Prime Factorization of 306410

Prime factors of 306410 are 2, 5, 13,2357. Prime factorization of 306410 in exponential form is:

306410 = 2¹×5¹×13¹×2357¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306409 and 306410.

LCM(306409,306410) = 2¹×5¹×13¹×131¹×2339¹×2357¹
LCM(306409,306410) = 93886781690

Factors of 306409

List of positive integer factors of 306409 that divides 306409 without a remainder.

1, 131, 2339, 306409

Factors of 306410

List of positive integer factors of 306410 that divides 306410 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 2357, 4714, 11785, 23570, 30641, 61282, 153205, 306410

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306409 and 306410, than apply into the LCM equation.

GCF(306409,306410) = 1
LCM(306409,306410) = ( 306409 × 306410) / 1
LCM(306409,306410) = 93886781690 / 1
LCM(306409,306410) = 93886781690

(i) The LCM of 306410 and 306409 is associative

LCM of 306409 and 306410 = LCM of 306410 and 306409

1. What is the LCM of 306409 and 306410?

Answer: LCM of 306409 and 306410 is 93886781690.

2. What are the Factors of 306409?

Answer: Factors of 306409 are 1, 131, 2339, 306409. There are 4 integers that are factors of 306409. The greatest factor of 306409 is 306409.

3. What are the Factors of 306410?

Answer: Factors of 306410 are 1, 2, 5, 10, 13, 26, 65, 130, 2357, 4714, 11785, 23570, 30641, 61282, 153205, 306410. There are 16 integers that are factors of 306410. The greatest factor of 306410 is 306410.

4. How to Find the LCM of 306409 and 306410?

Answer:

Least Common Multiple of 306409 and 306410 = 93886781690

Step 1: Find the prime factorization of 306409

306409 = 131 x 2339

Step 2: Find the prime factorization of 306410

306410 = 2 x 5 x 13 x 2357

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

LCM = 93886781690 = 2 x 5 x 13 x 131 x 2339 x 2357

Step 4: Therefore, the least common multiple of 306409 and 306410 is 93886781690.