Least Common Multiple of 311427 and 311435

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

• Least Common Multiple of 311427 and 311435 by Prime method
• Least Common Multiple of 311427 and 311435 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 311427 and 311435. First we will calculate the prime factors of 311427 and 311435.

Prime Factorization of 311427

Prime factors of 311427 are 3,34603. Prime factorization of 311427 in exponential form is:

311427 = 3²×34603¹

Prime Factorization of 311435

Prime factors of 311435 are 5, 199,313. Prime factorization of 311435 in exponential form is:

311435 = 5¹×199¹×313¹

Now multiplying the highest exponent prime factors to calculate the LCM of 311427 and 311435.

LCM(311427,311435) = 3²×5¹×199¹×313¹×34603¹
LCM(311427,311435) = 96989267745

Factors of 311427

List of positive integer factors of 311427 that divides 311427 without a remainder.

1, 3, 9, 34603, 103809, 311427

Factors of 311435

List of positive integer factors of 311435 that divides 311435 without a remainder.

1, 5, 199, 313, 995, 1565, 62287, 311435

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311427 and 311435, than apply into the LCM equation.

GCF(311427,311435) = 1
LCM(311427,311435) = ( 311427 × 311435) / 1
LCM(311427,311435) = 96989267745 / 1
LCM(311427,311435) = 96989267745

(i) The LCM of 311435 and 311427 is associative

LCM of 311427 and 311435 = LCM of 311435 and 311427

1. What is the LCM of 311427 and 311435?

Answer: LCM of 311427 and 311435 is 96989267745.

2. What are the Factors of 311427?

Answer: Factors of 311427 are 1, 3, 9, 34603, 103809, 311427. There are 6 integers that are factors of 311427. The greatest factor of 311427 is 311427.

3. What are the Factors of 311435?

Answer: Factors of 311435 are 1, 5, 199, 313, 995, 1565, 62287, 311435. There are 8 integers that are factors of 311435. The greatest factor of 311435 is 311435.

4. How to Find the LCM of 311427 and 311435?

Answer:

Least Common Multiple of 311427 and 311435 = 96989267745

Step 1: Find the prime factorization of 311427

311427 = 3 x 3 x 34603

Step 2: Find the prime factorization of 311435

311435 = 5 x 199 x 313

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

LCM = 96989267745 = 3 x 3 x 5 x 199 x 313 x 34603

Step 4: Therefore, the least common multiple of 311427 and 311435 is 96989267745.