Least Common Multiple of 308447 and 308452

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

• Least Common Multiple of 308447 and 308452 by Prime method
• Least Common Multiple of 308447 and 308452 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308447 and 308452. First we will calculate the prime factors of 308447 and 308452.

Prime Factorization of 308447

Prime factors of 308447 are 308447. Prime factorization of 308447 in exponential form is:

308447 = 308447¹

Prime Factorization of 308452

Prime factors of 308452 are 2, 59,1307. Prime factorization of 308452 in exponential form is:

308452 = 2²×59¹×1307¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308447 and 308452.

LCM(308447,308452) = 2²×59¹×1307¹×308447¹
LCM(308447,308452) = 95141094044

Factors of 308447

List of positive integer factors of 308447 that divides 308447 without a remainder.

1, 308447

Factors of 308452

List of positive integer factors of 308452 that divides 308452 without a remainder.

1, 2, 4, 59, 118, 236, 1307, 2614, 5228, 77113, 154226, 308452

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308447 and 308452, than apply into the LCM equation.

GCF(308447,308452) = 1
LCM(308447,308452) = ( 308447 × 308452) / 1
LCM(308447,308452) = 95141094044 / 1
LCM(308447,308452) = 95141094044

(i) The LCM of 308452 and 308447 is associative

LCM of 308447 and 308452 = LCM of 308452 and 308447

1. What is the LCM of 308447 and 308452?

Answer: LCM of 308447 and 308452 is 95141094044.

2. What are the Factors of 308447?

Answer: Factors of 308447 are 1, 308447. There are 2 integers that are factors of 308447. The greatest factor of 308447 is 308447.

3. What are the Factors of 308452?

Answer: Factors of 308452 are 1, 2, 4, 59, 118, 236, 1307, 2614, 5228, 77113, 154226, 308452. There are 12 integers that are factors of 308452. The greatest factor of 308452 is 308452.

4. How to Find the LCM of 308447 and 308452?

Answer:

Least Common Multiple of 308447 and 308452 = 95141094044

Step 1: Find the prime factorization of 308447

308447 = 308447

Step 2: Find the prime factorization of 308452

308452 = 2 x 2 x 59 x 1307

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

LCM = 95141094044 = 2 x 2 x 59 x 1307 x 308447

Step 4: Therefore, the least common multiple of 308447 and 308452 is 95141094044.