Least Common Multiple of 307454 and 307459

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

• Least Common Multiple of 307454 and 307459 by Prime method
• Least Common Multiple of 307454 and 307459 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307454 and 307459. First we will calculate the prime factors of 307454 and 307459.

Prime Factorization of 307454

Prime factors of 307454 are 2, 7,21961. Prime factorization of 307454 in exponential form is:

307454 = 2¹×7¹×21961¹

Prime Factorization of 307459

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

307459 = 41¹×7499¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307454 and 307459.

LCM(307454,307459) = 2¹×7¹×41¹×7499¹×21961¹
LCM(307454,307459) = 94529499386

Factors of 307454

List of positive integer factors of 307454 that divides 307454 without a remainder.

1, 2, 7, 14, 21961, 43922, 153727, 307454

Factors of 307459

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

1, 41, 7499, 307459

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307454 and 307459, than apply into the LCM equation.

GCF(307454,307459) = 1
LCM(307454,307459) = ( 307454 × 307459) / 1
LCM(307454,307459) = 94529499386 / 1
LCM(307454,307459) = 94529499386

(i) The LCM of 307459 and 307454 is associative

LCM of 307454 and 307459 = LCM of 307459 and 307454

1. What is the LCM of 307454 and 307459?

Answer: LCM of 307454 and 307459 is 94529499386.

2. What are the Factors of 307454?

Answer: Factors of 307454 are 1, 2, 7, 14, 21961, 43922, 153727, 307454. There are 8 integers that are factors of 307454. The greatest factor of 307454 is 307454.

3. 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.

4. How to Find the LCM of 307454 and 307459?

Answer:

Least Common Multiple of 307454 and 307459 = 94529499386

Step 1: Find the prime factorization of 307454

307454 = 2 x 7 x 21961

Step 2: Find the prime factorization of 307459

307459 = 41 x 7499

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

LCM = 94529499386 = 2 x 7 x 41 x 7499 x 21961

Step 4: Therefore, the least common multiple of 307454 and 307459 is 94529499386.