Least Common Multiple of 313457 and 313460

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

• Least Common Multiple of 313457 and 313460 by Prime method
• Least Common Multiple of 313457 and 313460 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 313457 and 313460. First we will calculate the prime factors of 313457 and 313460.

Prime Factorization of 313457

Prime factors of 313457 are 331,947. Prime factorization of 313457 in exponential form is:

313457 = 331¹×947¹

Prime Factorization of 313460

Prime factors of 313460 are 2, 5, 7,2239. Prime factorization of 313460 in exponential form is:

313460 = 2²×5¹×7¹×2239¹

Now multiplying the highest exponent prime factors to calculate the LCM of 313457 and 313460.

LCM(313457,313460) = 2²×5¹×7¹×331¹×947¹×2239¹
LCM(313457,313460) = 98256231220

Factors of 313457

List of positive integer factors of 313457 that divides 313457 without a remainder.

1, 331, 947, 313457

Factors of 313460

List of positive integer factors of 313460 that divides 313460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 2239, 4478, 8956, 11195, 15673, 22390, 31346, 44780, 62692, 78365, 156730, 313460

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313457 and 313460, than apply into the LCM equation.

GCF(313457,313460) = 1
LCM(313457,313460) = ( 313457 × 313460) / 1
LCM(313457,313460) = 98256231220 / 1
LCM(313457,313460) = 98256231220

(i) The LCM of 313460 and 313457 is associative

LCM of 313457 and 313460 = LCM of 313460 and 313457

1. What is the LCM of 313457 and 313460?

Answer: LCM of 313457 and 313460 is 98256231220.

2. What are the Factors of 313457?

Answer: Factors of 313457 are 1, 331, 947, 313457. There are 4 integers that are factors of 313457. The greatest factor of 313457 is 313457.

3. What are the Factors of 313460?

Answer: Factors of 313460 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 2239, 4478, 8956, 11195, 15673, 22390, 31346, 44780, 62692, 78365, 156730, 313460. There are 24 integers that are factors of 313460. The greatest factor of 313460 is 313460.

4. How to Find the LCM of 313457 and 313460?

Answer:

Least Common Multiple of 313457 and 313460 = 98256231220

Step 1: Find the prime factorization of 313457

313457 = 331 x 947

Step 2: Find the prime factorization of 313460

313460 = 2 x 2 x 5 x 7 x 2239

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

LCM = 98256231220 = 2 x 2 x 5 x 7 x 331 x 947 x 2239

Step 4: Therefore, the least common multiple of 313457 and 313460 is 98256231220.