Least Common Multiple of 308448 and 308455

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

• Least Common Multiple of 308448 and 308455 by Prime method
• Least Common Multiple of 308448 and 308455 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308448 and 308455. First we will calculate the prime factors of 308448 and 308455.

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

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 308448 and 308455.

LCM(308448,308455) = 2⁵×3⁴×5¹×7²×17¹×1259¹
LCM(308448,308455) = 13591761120

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

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 308448 and 308455, than apply into the LCM equation.

GCF(308448,308455) = 7
LCM(308448,308455) = ( 308448 × 308455) / 7
LCM(308448,308455) = 95142327840 / 7
LCM(308448,308455) = 13591761120

(i) The LCM of 308455 and 308448 is associative

LCM of 308448 and 308455 = LCM of 308455 and 308448

1. What is the LCM of 308448 and 308455?

Answer: LCM of 308448 and 308455 is 13591761120.

2. 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.

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 308448 and 308455?

Answer:

Least Common Multiple of 308448 and 308455 = 13591761120

Step 1: 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 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 = 13591761120 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 17 x 1259

Step 4: Therefore, the least common multiple of 308448 and 308455 is 13591761120.