Least Common Multiple of 307445 and 307453

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

• Least Common Multiple of 307445 and 307453 by Prime method
• Least Common Multiple of 307445 and 307453 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307445 and 307453. First we will calculate the prime factors of 307445 and 307453.

Prime Factorization of 307445

Prime factors of 307445 are 5, 17,3617. Prime factorization of 307445 in exponential form is:

307445 = 5¹×17¹×3617¹

Prime Factorization of 307453

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

307453 = 53¹×5801¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307445 and 307453.

LCM(307445,307453) = 5¹×17¹×53¹×3617¹×5801¹
LCM(307445,307453) = 94524887585

Factors of 307445

List of positive integer factors of 307445 that divides 307445 without a remainder.

1, 5, 17, 85, 3617, 18085, 61489, 307445

Factors of 307453

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

1, 53, 5801, 307453

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307445 and 307453, than apply into the LCM equation.

GCF(307445,307453) = 1
LCM(307445,307453) = ( 307445 × 307453) / 1
LCM(307445,307453) = 94524887585 / 1
LCM(307445,307453) = 94524887585

(i) The LCM of 307453 and 307445 is associative

LCM of 307445 and 307453 = LCM of 307453 and 307445

1. What is the LCM of 307445 and 307453?

Answer: LCM of 307445 and 307453 is 94524887585.

2. What are the Factors of 307445?

Answer: Factors of 307445 are 1, 5, 17, 85, 3617, 18085, 61489, 307445. There are 8 integers that are factors of 307445. The greatest factor of 307445 is 307445.

3. 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.

4. How to Find the LCM of 307445 and 307453?

Answer:

Least Common Multiple of 307445 and 307453 = 94524887585

Step 1: Find the prime factorization of 307445

307445 = 5 x 17 x 3617

Step 2: Find the prime factorization of 307453

307453 = 53 x 5801

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

LCM = 94524887585 = 5 x 17 x 53 x 3617 x 5801

Step 4: Therefore, the least common multiple of 307445 and 307453 is 94524887585.