Least Common Multiple of 308441 and 308448

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

• Least Common Multiple of 308441 and 308448 by Prime method
• Least Common Multiple of 308441 and 308448 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308441 and 308448. First we will calculate the prime factors of 308441 and 308448.

Prime Factorization of 308441

Prime factors of 308441 are 7, 139,317. Prime factorization of 308441 in exponential form is:

308441 = 7¹×139¹×317¹

Prime Factorization of 308448

Prime factors of 308448 are 2, 3, 7,17. Prime factorization of 308448 in exponential form is:

308448 = 2⁵×3⁴×7¹×17¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308441 and 308448.

LCM(308441,308448) = 2⁵×3⁴×7¹×17¹×139¹×317¹
LCM(308441,308448) = 13591144224

Factors of 308441

List of positive integer factors of 308441 that divides 308441 without a remainder.

1, 7, 139, 317, 973, 2219, 44063, 308441

Factors of 308448

List of positive integer factors of 308448 that divides 308448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 21, 24, 27, 28, 32, 34, 36, 42, 48, 51, 54, 56, 63, 68, 72, 81, 84, 96, 102, 108, 112, 119, 126, 136, 144, 153, 162, 168, 189, 204, 216, 224, 238, 252, 272, 288, 306, 324, 336, 357, 378, 408, 432, 459, 476, 504, 544, 567, 612, 648, 672, 714, 756, 816, 864, 918, 952, 1008, 1071, 1134, 1224, 1296, 1377, 1428, 1512, 1632, 1836, 1904, 2016, 2142, 2268, 2448, 2592, 2754, 2856, 3024, 3213, 3672, 3808, 4284, 4536, 4896, 5508, 5712, 6048, 6426, 7344, 8568, 9072, 9639, 11016, 11424, 12852, 14688, 17136, 18144, 19278, 22032, 25704, 34272, 38556, 44064, 51408, 77112, 102816, 154224, 308448

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308441 and 308448, than apply into the LCM equation.

GCF(308441,308448) = 7
LCM(308441,308448) = ( 308441 × 308448) / 7
LCM(308441,308448) = 95138009568 / 7
LCM(308441,308448) = 13591144224

(i) The LCM of 308448 and 308441 is associative

LCM of 308441 and 308448 = LCM of 308448 and 308441

1. What is the LCM of 308441 and 308448?

Answer: LCM of 308441 and 308448 is 13591144224.

2. What are the Factors of 308441?

Answer: Factors of 308441 are 1, 7, 139, 317, 973, 2219, 44063, 308441. There are 8 integers that are factors of 308441. The greatest factor of 308441 is 308441.

3. What are the Factors of 308448?

Answer: Factors of 308448 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 21, 24, 27, 28, 32, 34, 36, 42, 48, 51, 54, 56, 63, 68, 72, 81, 84, 96, 102, 108, 112, 119, 126, 136, 144, 153, 162, 168, 189, 204, 216, 224, 238, 252, 272, 288, 306, 324, 336, 357, 378, 408, 432, 459, 476, 504, 544, 567, 612, 648, 672, 714, 756, 816, 864, 918, 952, 1008, 1071, 1134, 1224, 1296, 1377, 1428, 1512, 1632, 1836, 1904, 2016, 2142, 2268, 2448, 2592, 2754, 2856, 3024, 3213, 3672, 3808, 4284, 4536, 4896, 5508, 5712, 6048, 6426, 7344, 8568, 9072, 9639, 11016, 11424, 12852, 14688, 17136, 18144, 19278, 22032, 25704, 34272, 38556, 44064, 51408, 77112, 102816, 154224, 308448. There are 120 integers that are factors of 308448. The greatest factor of 308448 is 308448.

4. How to Find the LCM of 308441 and 308448?

Answer:

Least Common Multiple of 308441 and 308448 = 13591144224

Step 1: Find the prime factorization of 308441

308441 = 7 x 139 x 317

Step 2: Find the prime factorization of 308448

308448 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 17

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

LCM = 13591144224 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 17 x 139 x 317

Step 4: Therefore, the least common multiple of 308441 and 308448 is 13591144224.