Least Common Multiple of 307452 and 307457

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

• Least Common Multiple of 307452 and 307457 by Prime method
• Least Common Multiple of 307452 and 307457 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307452 and 307457. First we will calculate the prime factors of 307452 and 307457.

Prime Factorization of 307452

Prime factors of 307452 are 2, 3,25621. Prime factorization of 307452 in exponential form is:

307452 = 2²×3¹×25621¹

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 307452 and 307457.

LCM(307452,307457) = 2²×3¹×131¹×2347¹×25621¹
LCM(307452,307457) = 94528269564

Factors of 307452

List of positive integer factors of 307452 that divides 307452 without a remainder.

1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452

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 307452 and 307457, than apply into the LCM equation.

GCF(307452,307457) = 1
LCM(307452,307457) = ( 307452 × 307457) / 1
LCM(307452,307457) = 94528269564 / 1
LCM(307452,307457) = 94528269564

(i) The LCM of 307457 and 307452 is associative

LCM of 307452 and 307457 = LCM of 307457 and 307452

1. What is the LCM of 307452 and 307457?

Answer: LCM of 307452 and 307457 is 94528269564.

2. What are the Factors of 307452?

Answer: Factors of 307452 are 1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452. There are 12 integers that are factors of 307452. The greatest factor of 307452 is 307452.

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 307452 and 307457?

Answer:

Least Common Multiple of 307452 and 307457 = 94528269564

Step 1: Find the prime factorization of 307452

307452 = 2 x 2 x 3 x 25621

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 = 94528269564 = 2 x 2 x 3 x 131 x 2347 x 25621

Step 4: Therefore, the least common multiple of 307452 and 307457 is 94528269564.