Least Common Multiple of 307453 and 307457

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

• Least Common Multiple of 307453 and 307457 by Prime method
• Least Common Multiple of 307453 and 307457 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307453 and 307457. First we will calculate the prime factors of 307453 and 307457.

Prime Factorization of 307453

Prime factors of 307453 are 53,5801. Prime factorization of 307453 in exponential form is:

307453 = 53¹×5801¹

Prime Factorization of 307457

Prime factors of 307457 are 131,2347. Prime factorization of 307457 in exponential form is:

307457 = 131¹×2347¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307453 and 307457.

LCM(307453,307457) = 53¹×131¹×2347¹×5801¹
LCM(307453,307457) = 94528577021

Factors of 307453

List of positive integer factors of 307453 that divides 307453 without a remainder.

1, 53, 5801, 307453

Factors of 307457

List of positive integer factors of 307457 that divides 307457 without a remainder.

1, 131, 2347, 307457

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307453 and 307457, than apply into the LCM equation.

GCF(307453,307457) = 1
LCM(307453,307457) = ( 307453 × 307457) / 1
LCM(307453,307457) = 94528577021 / 1
LCM(307453,307457) = 94528577021

(i) The LCM of 307457 and 307453 is associative

LCM of 307453 and 307457 = LCM of 307457 and 307453

1. What is the LCM of 307453 and 307457?

Answer: LCM of 307453 and 307457 is 94528577021.

2. What are the Factors of 307453?

Answer: Factors of 307453 are 1, 53, 5801, 307453. There are 4 integers that are factors of 307453. The greatest factor of 307453 is 307453.

3. What are the Factors of 307457?

Answer: Factors of 307457 are 1, 131, 2347, 307457. There are 4 integers that are factors of 307457. The greatest factor of 307457 is 307457.

4. How to Find the LCM of 307453 and 307457?

Answer:

Least Common Multiple of 307453 and 307457 = 94528577021

Step 1: Find the prime factorization of 307453

307453 = 53 x 5801

Step 2: Find the prime factorization of 307457

307457 = 131 x 2347

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

LCM = 94528577021 = 53 x 131 x 2347 x 5801

Step 4: Therefore, the least common multiple of 307453 and 307457 is 94528577021.