Least Common Multiple of 306465 and 306470

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

• Least Common Multiple of 306465 and 306470 by Prime method
• Least Common Multiple of 306465 and 306470 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306465 and 306470. First we will calculate the prime factors of 306465 and 306470.

Prime Factorization of 306465

Prime factors of 306465 are 3, 5,20431. Prime factorization of 306465 in exponential form is:

306465 = 3¹×5¹×20431¹

Prime Factorization of 306470

Prime factors of 306470 are 2, 5, 19,1613. Prime factorization of 306470 in exponential form is:

306470 = 2¹×5¹×19¹×1613¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306465 and 306470.

LCM(306465,306470) = 2¹×3¹×5¹×19¹×1613¹×20431¹
LCM(306465,306470) = 18784465710

Factors of 306465

List of positive integer factors of 306465 that divides 306465 without a remainder.

1, 3, 5, 15, 20431, 61293, 102155, 306465

Factors of 306470

List of positive integer factors of 306470 that divides 306470 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 1613, 3226, 8065, 16130, 30647, 61294, 153235, 306470

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306465 and 306470, than apply into the LCM equation.

GCF(306465,306470) = 5
LCM(306465,306470) = ( 306465 × 306470) / 5
LCM(306465,306470) = 93922328550 / 5
LCM(306465,306470) = 18784465710

(i) The LCM of 306470 and 306465 is associative

LCM of 306465 and 306470 = LCM of 306470 and 306465

1. What is the LCM of 306465 and 306470?

Answer: LCM of 306465 and 306470 is 18784465710.

2. What are the Factors of 306465?

Answer: Factors of 306465 are 1, 3, 5, 15, 20431, 61293, 102155, 306465. There are 8 integers that are factors of 306465. The greatest factor of 306465 is 306465.

3. What are the Factors of 306470?

Answer: Factors of 306470 are 1, 2, 5, 10, 19, 38, 95, 190, 1613, 3226, 8065, 16130, 30647, 61294, 153235, 306470. There are 16 integers that are factors of 306470. The greatest factor of 306470 is 306470.

4. How to Find the LCM of 306465 and 306470?

Answer:

Least Common Multiple of 306465 and 306470 = 18784465710

Step 1: Find the prime factorization of 306465

306465 = 3 x 5 x 20431

Step 2: Find the prime factorization of 306470

306470 = 2 x 5 x 19 x 1613

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

LCM = 18784465710 = 2 x 3 x 5 x 19 x 1613 x 20431

Step 4: Therefore, the least common multiple of 306465 and 306470 is 18784465710.