Least Common Multiple of 307459 and 307463

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

• Least Common Multiple of 307459 and 307463 by Prime method
• Least Common Multiple of 307459 and 307463 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307459 and 307463. First we will calculate the prime factors of 307459 and 307463.

Prime Factorization of 307459

Prime factors of 307459 are 41,7499. Prime factorization of 307459 in exponential form is:

307459 = 41¹×7499¹

Prime Factorization of 307463

Prime factors of 307463 are 13, 67,353. Prime factorization of 307463 in exponential form is:

307463 = 13¹×67¹×353¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307459 and 307463.

LCM(307459,307463) = 13¹×41¹×67¹×353¹×7499¹
LCM(307459,307463) = 94532266517

Factors of 307459

List of positive integer factors of 307459 that divides 307459 without a remainder.

1, 41, 7499, 307459

Factors of 307463

List of positive integer factors of 307463 that divides 307463 without a remainder.

1, 13, 67, 353, 871, 4589, 23651, 307463

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307459 and 307463, than apply into the LCM equation.

GCF(307459,307463) = 1
LCM(307459,307463) = ( 307459 × 307463) / 1
LCM(307459,307463) = 94532266517 / 1
LCM(307459,307463) = 94532266517

(i) The LCM of 307463 and 307459 is associative

LCM of 307459 and 307463 = LCM of 307463 and 307459

1. What is the LCM of 307459 and 307463?

Answer: LCM of 307459 and 307463 is 94532266517.

2. What are the Factors of 307459?

Answer: Factors of 307459 are 1, 41, 7499, 307459. There are 4 integers that are factors of 307459. The greatest factor of 307459 is 307459.

3. What are the Factors of 307463?

Answer: Factors of 307463 are 1, 13, 67, 353, 871, 4589, 23651, 307463. There are 8 integers that are factors of 307463. The greatest factor of 307463 is 307463.

4. How to Find the LCM of 307459 and 307463?

Answer:

Least Common Multiple of 307459 and 307463 = 94532266517

Step 1: Find the prime factorization of 307459

307459 = 41 x 7499

Step 2: Find the prime factorization of 307463

307463 = 13 x 67 x 353

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

LCM = 94532266517 = 13 x 41 x 67 x 353 x 7499

Step 4: Therefore, the least common multiple of 307459 and 307463 is 94532266517.