Least Common Multiple of 307447 and 307454

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

• Least Common Multiple of 307447 and 307454 by Prime method
• Least Common Multiple of 307447 and 307454 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307447 and 307454. First we will calculate the prime factors of 307447 and 307454.

Prime Factorization of 307447

Prime factors of 307447 are 7, 167,263. Prime factorization of 307447 in exponential form is:

307447 = 7¹×167¹×263¹

Prime Factorization of 307454

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

307454 = 2¹×7¹×21961¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307447 and 307454.

LCM(307447,307454) = 2¹×7¹×167¹×263¹×21961¹
LCM(307447,307454) = 13503687134

Factors of 307447

List of positive integer factors of 307447 that divides 307447 without a remainder.

1, 7, 167, 263, 1169, 1841, 43921, 307447

Factors of 307454

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307447 and 307454, than apply into the LCM equation.

GCF(307447,307454) = 7
LCM(307447,307454) = ( 307447 × 307454) / 7
LCM(307447,307454) = 94525809938 / 7
LCM(307447,307454) = 13503687134

(i) The LCM of 307454 and 307447 is associative

LCM of 307447 and 307454 = LCM of 307454 and 307447

1. What is the LCM of 307447 and 307454?

Answer: LCM of 307447 and 307454 is 13503687134.

2. What are the Factors of 307447?

Answer: Factors of 307447 are 1, 7, 167, 263, 1169, 1841, 43921, 307447. There are 8 integers that are factors of 307447. The greatest factor of 307447 is 307447.

3. 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.

4. How to Find the LCM of 307447 and 307454?

Answer:

Least Common Multiple of 307447 and 307454 = 13503687134

Step 1: Find the prime factorization of 307447

307447 = 7 x 167 x 263

Step 2: Find the prime factorization of 307454

307454 = 2 x 7 x 21961

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

LCM = 13503687134 = 2 x 7 x 167 x 263 x 21961

Step 4: Therefore, the least common multiple of 307447 and 307454 is 13503687134.