Least Common Multiple of 310447 and 310452

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

• Least Common Multiple of 310447 and 310452 by Prime method
• Least Common Multiple of 310447 and 310452 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310447 and 310452. First we will calculate the prime factors of 310447 and 310452.

Prime Factorization of 310447

Prime factors of 310447 are 310447. Prime factorization of 310447 in exponential form is:

310447 = 310447¹

Prime Factorization of 310452

Prime factors of 310452 are 2, 3, 41,631. Prime factorization of 310452 in exponential form is:

310452 = 2²×3¹×41¹×631¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310447 and 310452.

LCM(310447,310452) = 2²×3¹×41¹×631¹×310447¹
LCM(310447,310452) = 96378892044

Factors of 310447

List of positive integer factors of 310447 that divides 310447 without a remainder.

1, 310447

Factors of 310452

List of positive integer factors of 310452 that divides 310452 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492, 631, 1262, 1893, 2524, 3786, 7572, 25871, 51742, 77613, 103484, 155226, 310452

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310447 and 310452, than apply into the LCM equation.

GCF(310447,310452) = 1
LCM(310447,310452) = ( 310447 × 310452) / 1
LCM(310447,310452) = 96378892044 / 1
LCM(310447,310452) = 96378892044

(i) The LCM of 310452 and 310447 is associative

LCM of 310447 and 310452 = LCM of 310452 and 310447

1. What is the LCM of 310447 and 310452?

Answer: LCM of 310447 and 310452 is 96378892044.

2. What are the Factors of 310447?

Answer: Factors of 310447 are 1, 310447. There are 2 integers that are factors of 310447. The greatest factor of 310447 is 310447.

3. What are the Factors of 310452?

Answer: Factors of 310452 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492, 631, 1262, 1893, 2524, 3786, 7572, 25871, 51742, 77613, 103484, 155226, 310452. There are 24 integers that are factors of 310452. The greatest factor of 310452 is 310452.

4. How to Find the LCM of 310447 and 310452?

Answer:

Least Common Multiple of 310447 and 310452 = 96378892044

Step 1: Find the prime factorization of 310447

310447 = 310447

Step 2: Find the prime factorization of 310452

310452 = 2 x 2 x 3 x 41 x 631

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

LCM = 96378892044 = 2 x 2 x 3 x 41 x 631 x 310447

Step 4: Therefore, the least common multiple of 310447 and 310452 is 96378892044.