Least Common Multiple of 308455 and 308461

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

• Least Common Multiple of 308455 and 308461 by Prime method
• Least Common Multiple of 308455 and 308461 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308455 and 308461. First we will calculate the prime factors of 308455 and 308461.

Prime Factorization of 308455

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

308455 = 5¹×7²×1259¹

Prime Factorization of 308461

Prime factors of 308461 are 47,6563. Prime factorization of 308461 in exponential form is:

308461 = 47¹×6563¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308455 and 308461.

LCM(308455,308461) = 5¹×7²×47¹×1259¹×6563¹
LCM(308455,308461) = 95146337755

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

Factors of 308461

List of positive integer factors of 308461 that divides 308461 without a remainder.

1, 47, 6563, 308461

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308455 and 308461, than apply into the LCM equation.

GCF(308455,308461) = 1
LCM(308455,308461) = ( 308455 × 308461) / 1
LCM(308455,308461) = 95146337755 / 1
LCM(308455,308461) = 95146337755

(i) The LCM of 308461 and 308455 is associative

LCM of 308455 and 308461 = LCM of 308461 and 308455

1. What is the LCM of 308455 and 308461?

Answer: LCM of 308455 and 308461 is 95146337755.

2. 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.

3. What are the Factors of 308461?

Answer: Factors of 308461 are 1, 47, 6563, 308461. There are 4 integers that are factors of 308461. The greatest factor of 308461 is 308461.

4. How to Find the LCM of 308455 and 308461?

Answer:

Least Common Multiple of 308455 and 308461 = 95146337755

Step 1: Find the prime factorization of 308455

308455 = 5 x 7 x 7 x 1259

Step 2: Find the prime factorization of 308461

308461 = 47 x 6563

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

LCM = 95146337755 = 5 x 7 x 7 x 47 x 1259 x 6563

Step 4: Therefore, the least common multiple of 308455 and 308461 is 95146337755.