Least Common Multiple of 308449 and 308455

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

• Least Common Multiple of 308449 and 308455 by Prime method
• Least Common Multiple of 308449 and 308455 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308449 and 308455. First we will calculate the prime factors of 308449 and 308455.

Prime Factorization of 308449

Prime factors of 308449 are 167,1847. Prime factorization of 308449 in exponential form is:

308449 = 167¹×1847¹

Prime Factorization of 308455

Prime factors of 308455 are 5, 7,1259. Prime factorization of 308455 in exponential form is:

308455 = 5¹×7²×1259¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308449 and 308455.

LCM(308449,308455) = 5¹×7²×167¹×1259¹×1847¹
LCM(308449,308455) = 95142636295

Factors of 308449

List of positive integer factors of 308449 that divides 308449 without a remainder.

1, 167, 1847, 308449

Factors of 308455

List of positive integer factors of 308455 that divides 308455 without a remainder.

1, 5, 7, 35, 49, 245, 1259, 6295, 8813, 44065, 61691, 308455

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308449 and 308455, than apply into the LCM equation.

GCF(308449,308455) = 1
LCM(308449,308455) = ( 308449 × 308455) / 1
LCM(308449,308455) = 95142636295 / 1
LCM(308449,308455) = 95142636295

(i) The LCM of 308455 and 308449 is associative

LCM of 308449 and 308455 = LCM of 308455 and 308449

1. What is the LCM of 308449 and 308455?

Answer: LCM of 308449 and 308455 is 95142636295.

2. What are the Factors of 308449?

Answer: Factors of 308449 are 1, 167, 1847, 308449. There are 4 integers that are factors of 308449. The greatest factor of 308449 is 308449.

3. What are the Factors of 308455?

Answer: Factors of 308455 are 1, 5, 7, 35, 49, 245, 1259, 6295, 8813, 44065, 61691, 308455. There are 12 integers that are factors of 308455. The greatest factor of 308455 is 308455.

4. How to Find the LCM of 308449 and 308455?

Answer:

Least Common Multiple of 308449 and 308455 = 95142636295

Step 1: Find the prime factorization of 308449

308449 = 167 x 1847

Step 2: Find the prime factorization of 308455

308455 = 5 x 7 x 7 x 1259

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

LCM = 95142636295 = 5 x 7 x 7 x 167 x 1259 x 1847

Step 4: Therefore, the least common multiple of 308449 and 308455 is 95142636295.