Least Common Multiple of 308417 and 308421

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

• Least Common Multiple of 308417 and 308421 by Prime method
• Least Common Multiple of 308417 and 308421 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308417 and 308421. First we will calculate the prime factors of 308417 and 308421.

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 308421

Prime factors of 308421 are 3,11423. Prime factorization of 308421 in exponential form is:

308421 = 3³×11423¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308417 and 308421.

LCM(308417,308421) = 3³×179¹×1723¹×11423¹
LCM(308417,308421) = 95122279557

Factors of 308417

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

1, 179, 1723, 308417

Factors of 308421

List of positive integer factors of 308421 that divides 308421 without a remainder.

1, 3, 9, 27, 11423, 34269, 102807, 308421

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308417 and 308421, than apply into the LCM equation.

GCF(308417,308421) = 1
LCM(308417,308421) = ( 308417 × 308421) / 1
LCM(308417,308421) = 95122279557 / 1
LCM(308417,308421) = 95122279557

(i) The LCM of 308421 and 308417 is associative

LCM of 308417 and 308421 = LCM of 308421 and 308417

1. What is the LCM of 308417 and 308421?

Answer: LCM of 308417 and 308421 is 95122279557.

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 308421?

Answer: Factors of 308421 are 1, 3, 9, 27, 11423, 34269, 102807, 308421. There are 8 integers that are factors of 308421. The greatest factor of 308421 is 308421.

4. How to Find the LCM of 308417 and 308421?

Answer:

Least Common Multiple of 308417 and 308421 = 95122279557

Step 1: Find the prime factorization of 308417

308417 = 179 x 1723

Step 2: Find the prime factorization of 308421

308421 = 3 x 3 x 3 x 11423

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

LCM = 95122279557 = 3 x 3 x 3 x 179 x 1723 x 11423

Step 4: Therefore, the least common multiple of 308417 and 308421 is 95122279557.