Least Common Multiple of 307455 and 307463

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

• Least Common Multiple of 307455 and 307463 by Prime method
• Least Common Multiple of 307455 and 307463 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307455 and 307463. First we will calculate the prime factors of 307455 and 307463.

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

Prime Factorization of 307463

Prime factors of 307463 are 13, 67,353. Prime factorization of 307463 in exponential form is:

307463 = 13¹×67¹×353¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307455 and 307463.

LCM(307455,307463) = 3¹×5¹×13¹×67¹×103¹×199¹×353¹
LCM(307455,307463) = 94531036665

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

Factors of 307463

List of positive integer factors of 307463 that divides 307463 without a remainder.

1, 13, 67, 353, 871, 4589, 23651, 307463

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307455 and 307463, than apply into the LCM equation.

GCF(307455,307463) = 1
LCM(307455,307463) = ( 307455 × 307463) / 1
LCM(307455,307463) = 94531036665 / 1
LCM(307455,307463) = 94531036665

(i) The LCM of 307463 and 307455 is associative

LCM of 307455 and 307463 = LCM of 307463 and 307455

1. What is the LCM of 307455 and 307463?

Answer: LCM of 307455 and 307463 is 94531036665.

2. 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.

3. What are the Factors of 307463?

Answer: Factors of 307463 are 1, 13, 67, 353, 871, 4589, 23651, 307463. There are 8 integers that are factors of 307463. The greatest factor of 307463 is 307463.

4. How to Find the LCM of 307455 and 307463?

Answer:

Least Common Multiple of 307455 and 307463 = 94531036665

Step 1: Find the prime factorization of 307455

307455 = 3 x 5 x 103 x 199

Step 2: Find the prime factorization of 307463

307463 = 13 x 67 x 353

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

LCM = 94531036665 = 3 x 5 x 13 x 67 x 103 x 199 x 353

Step 4: Therefore, the least common multiple of 307455 and 307463 is 94531036665.