Least Common Multiple of 31308 and 31313

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

• Least Common Multiple of 31308 and 31313 by Prime method
• Least Common Multiple of 31308 and 31313 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31308 and 31313. First we will calculate the prime factors of 31308 and 31313.

Prime Factorization of 31308

Prime factors of 31308 are 2, 3,2609. Prime factorization of 31308 in exponential form is:

31308 = 2²×3¹×2609¹

Prime Factorization of 31313

Prime factors of 31313 are 173,181. Prime factorization of 31313 in exponential form is:

31313 = 173¹×181¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31308 and 31313.

LCM(31308,31313) = 2²×3¹×173¹×181¹×2609¹
LCM(31308,31313) = 980347404

Factors of 31308

List of positive integer factors of 31308 that divides 31308 without a remainder.

1, 2, 3, 4, 6, 12, 2609, 5218, 7827, 10436, 15654, 31308

Factors of 31313

List of positive integer factors of 31313 that divides 31313 without a remainder.

1, 173, 181, 31313

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31308 and 31313, than apply into the LCM equation.

GCF(31308,31313) = 1
LCM(31308,31313) = ( 31308 × 31313) / 1
LCM(31308,31313) = 980347404 / 1
LCM(31308,31313) = 980347404

(i) The LCM of 31313 and 31308 is associative

LCM of 31308 and 31313 = LCM of 31313 and 31308

1. What is the LCM of 31308 and 31313?

Answer: LCM of 31308 and 31313 is 980347404.

2. What are the Factors of 31308?

Answer: Factors of 31308 are 1, 2, 3, 4, 6, 12, 2609, 5218, 7827, 10436, 15654, 31308. There are 12 integers that are factors of 31308. The greatest factor of 31308 is 31308.

3. What are the Factors of 31313?

Answer: Factors of 31313 are 1, 173, 181, 31313. There are 4 integers that are factors of 31313. The greatest factor of 31313 is 31313.

4. How to Find the LCM of 31308 and 31313?

Answer:

Least Common Multiple of 31308 and 31313 = 980347404

Step 1: Find the prime factorization of 31308

31308 = 2 x 2 x 3 x 2609

Step 2: Find the prime factorization of 31313

31313 = 173 x 181

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

LCM = 980347404 = 2 x 2 x 3 x 173 x 181 x 2609

Step 4: Therefore, the least common multiple of 31308 and 31313 is 980347404.