Least Common Multiple of 307447 and 307455

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

• Least Common Multiple of 307447 and 307455 by Prime method
• Least Common Multiple of 307447 and 307455 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307447 and 307455. First we will calculate the prime factors of 307447 and 307455.

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 307455

Prime factors of 307455 are 3, 5, 103,199. Prime factorization of 307455 in exponential form is:

307455 = 3¹×5¹×103¹×199¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307447 and 307455.

LCM(307447,307455) = 3¹×5¹×7¹×103¹×167¹×199¹×263¹
LCM(307447,307455) = 94526117385

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 307455

List of positive integer factors of 307455 that divides 307455 without a remainder.

1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307447 and 307455, than apply into the LCM equation.

GCF(307447,307455) = 1
LCM(307447,307455) = ( 307447 × 307455) / 1
LCM(307447,307455) = 94526117385 / 1
LCM(307447,307455) = 94526117385

(i) The LCM of 307455 and 307447 is associative

LCM of 307447 and 307455 = LCM of 307455 and 307447

1. What is the LCM of 307447 and 307455?

Answer: LCM of 307447 and 307455 is 94526117385.

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 307455?

Answer: Factors of 307455 are 1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455. There are 16 integers that are factors of 307455. The greatest factor of 307455 is 307455.

4. How to Find the LCM of 307447 and 307455?

Answer:

Least Common Multiple of 307447 and 307455 = 94526117385

Step 1: Find the prime factorization of 307447

307447 = 7 x 167 x 263

Step 2: Find the prime factorization of 307455

307455 = 3 x 5 x 103 x 199

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

LCM = 94526117385 = 3 x 5 x 7 x 103 x 167 x 199 x 263

Step 4: Therefore, the least common multiple of 307447 and 307455 is 94526117385.