Least Common Multiple of 307447 and 307452

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

• Least Common Multiple of 307447 and 307452 by Prime method
• Least Common Multiple of 307447 and 307452 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307447 and 307452. First we will calculate the prime factors of 307447 and 307452.

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 307452

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

307452 = 2²×3¹×25621¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307447 and 307452.

LCM(307447,307452) = 2²×3¹×7¹×167¹×263¹×25621¹
LCM(307447,307452) = 94525195044

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 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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307447 and 307452, than apply into the LCM equation.

GCF(307447,307452) = 1
LCM(307447,307452) = ( 307447 × 307452) / 1
LCM(307447,307452) = 94525195044 / 1
LCM(307447,307452) = 94525195044

(i) The LCM of 307452 and 307447 is associative

LCM of 307447 and 307452 = LCM of 307452 and 307447

1. What is the LCM of 307447 and 307452?

Answer: LCM of 307447 and 307452 is 94525195044.

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 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.

4. How to Find the LCM of 307447 and 307452?

Answer:

Least Common Multiple of 307447 and 307452 = 94525195044

Step 1: Find the prime factorization of 307447

307447 = 7 x 167 x 263

Step 2: Find the prime factorization of 307452

307452 = 2 x 2 x 3 x 25621

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

LCM = 94525195044 = 2 x 2 x 3 x 7 x 167 x 263 x 25621

Step 4: Therefore, the least common multiple of 307447 and 307452 is 94525195044.