Least Common Multiple of 307451 and 307455

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

• Least Common Multiple of 307451 and 307455 by Prime method
• Least Common Multiple of 307451 and 307455 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307451 and 307455. First we will calculate the prime factors of 307451 and 307455.

Prime Factorization of 307451

Prime factors of 307451 are 307451. Prime factorization of 307451 in exponential form is:

307451 = 307451¹

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 307451 and 307455.

LCM(307451,307455) = 3¹×5¹×103¹×199¹×307451¹
LCM(307451,307455) = 94527347205

Factors of 307451

List of positive integer factors of 307451 that divides 307451 without a remainder.

1, 307451

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 307451 and 307455, than apply into the LCM equation.

GCF(307451,307455) = 1
LCM(307451,307455) = ( 307451 × 307455) / 1
LCM(307451,307455) = 94527347205 / 1
LCM(307451,307455) = 94527347205

(i) The LCM of 307455 and 307451 is associative

LCM of 307451 and 307455 = LCM of 307455 and 307451

1. What is the LCM of 307451 and 307455?

Answer: LCM of 307451 and 307455 is 94527347205.

2. What are the Factors of 307451?

Answer: Factors of 307451 are 1, 307451. There are 2 integers that are factors of 307451. The greatest factor of 307451 is 307451.

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 307451 and 307455?

Answer:

Least Common Multiple of 307451 and 307455 = 94527347205

Step 1: Find the prime factorization of 307451

307451 = 307451

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 = 94527347205 = 3 x 5 x 103 x 199 x 307451

Step 4: Therefore, the least common multiple of 307451 and 307455 is 94527347205.