Least Common Multiple of 308417 and 308425

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

• Least Common Multiple of 308417 and 308425 by Prime method
• Least Common Multiple of 308417 and 308425 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308417 and 308425. First we will calculate the prime factors of 308417 and 308425.

Prime Factorization of 308417

Prime factors of 308417 are 179,1723. Prime factorization of 308417 in exponential form is:

308417 = 179¹×1723¹

Prime Factorization of 308425

Prime factors of 308425 are 5, 13,73. Prime factorization of 308425 in exponential form is:

308425 = 5²×13²×73¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308417 and 308425.

LCM(308417,308425) = 5²×13²×73¹×179¹×1723¹
LCM(308417,308425) = 95123513225

Factors of 308417

List of positive integer factors of 308417 that divides 308417 without a remainder.

1, 179, 1723, 308417

Factors of 308425

List of positive integer factors of 308425 that divides 308425 without a remainder.

1, 5, 13, 25, 65, 73, 169, 325, 365, 845, 949, 1825, 4225, 4745, 12337, 23725, 61685, 308425

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308417 and 308425, than apply into the LCM equation.

GCF(308417,308425) = 1
LCM(308417,308425) = ( 308417 × 308425) / 1
LCM(308417,308425) = 95123513225 / 1
LCM(308417,308425) = 95123513225

(i) The LCM of 308425 and 308417 is associative

LCM of 308417 and 308425 = LCM of 308425 and 308417

1. What is the LCM of 308417 and 308425?

Answer: LCM of 308417 and 308425 is 95123513225.

2. What are the Factors of 308417?

Answer: Factors of 308417 are 1, 179, 1723, 308417. There are 4 integers that are factors of 308417. The greatest factor of 308417 is 308417.

3. What are the Factors of 308425?

Answer: Factors of 308425 are 1, 5, 13, 25, 65, 73, 169, 325, 365, 845, 949, 1825, 4225, 4745, 12337, 23725, 61685, 308425. There are 18 integers that are factors of 308425. The greatest factor of 308425 is 308425.

4. How to Find the LCM of 308417 and 308425?

Answer:

Least Common Multiple of 308417 and 308425 = 95123513225

Step 1: Find the prime factorization of 308417

308417 = 179 x 1723

Step 2: Find the prime factorization of 308425

308425 = 5 x 5 x 13 x 13 x 73

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

LCM = 95123513225 = 5 x 5 x 13 x 13 x 73 x 179 x 1723

Step 4: Therefore, the least common multiple of 308417 and 308425 is 95123513225.