Least Common Multiple of 310427 and 310435

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

• Least Common Multiple of 310427 and 310435 by Prime method
• Least Common Multiple of 310427 and 310435 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 310427 and 310435. First we will calculate the prime factors of 310427 and 310435.

Prime Factorization of 310427

Prime factors of 310427 are 13,23879. Prime factorization of 310427 in exponential form is:

310427 = 13¹×23879¹

Prime Factorization of 310435

Prime factors of 310435 are 5, 47,1321. Prime factorization of 310435 in exponential form is:

310435 = 5¹×47¹×1321¹

Now multiplying the highest exponent prime factors to calculate the LCM of 310427 and 310435.

LCM(310427,310435) = 5¹×13¹×47¹×1321¹×23879¹
LCM(310427,310435) = 96367405745

Factors of 310427

List of positive integer factors of 310427 that divides 310427 without a remainder.

1, 13, 23879, 310427

Factors of 310435

List of positive integer factors of 310435 that divides 310435 without a remainder.

1, 5, 47, 235, 1321, 6605, 62087, 310435

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310427 and 310435, than apply into the LCM equation.

GCF(310427,310435) = 1
LCM(310427,310435) = ( 310427 × 310435) / 1
LCM(310427,310435) = 96367405745 / 1
LCM(310427,310435) = 96367405745

(i) The LCM of 310435 and 310427 is associative

LCM of 310427 and 310435 = LCM of 310435 and 310427

1. What is the LCM of 310427 and 310435?

Answer: LCM of 310427 and 310435 is 96367405745.

2. What are the Factors of 310427?

Answer: Factors of 310427 are 1, 13, 23879, 310427. There are 4 integers that are factors of 310427. The greatest factor of 310427 is 310427.

3. What are the Factors of 310435?

Answer: Factors of 310435 are 1, 5, 47, 235, 1321, 6605, 62087, 310435. There are 8 integers that are factors of 310435. The greatest factor of 310435 is 310435.

4. How to Find the LCM of 310427 and 310435?

Answer:

Least Common Multiple of 310427 and 310435 = 96367405745

Step 1: Find the prime factorization of 310427

310427 = 13 x 23879

Step 2: Find the prime factorization of 310435

310435 = 5 x 47 x 1321

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

LCM = 96367405745 = 5 x 13 x 47 x 1321 x 23879

Step 4: Therefore, the least common multiple of 310427 and 310435 is 96367405745.