Least Common Multiple of 307440 and 307445

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

• Least Common Multiple of 307440 and 307445 by Prime method
• Least Common Multiple of 307440 and 307445 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307440 and 307445. First we will calculate the prime factors of 307440 and 307445.

Prime Factorization of 307440

Prime factors of 307440 are 2, 3, 5, 7,61. Prime factorization of 307440 in exponential form is:

307440 = 2⁴×3²×5¹×7¹×61¹

Prime Factorization of 307445

Prime factors of 307445 are 5, 17,3617. Prime factorization of 307445 in exponential form is:

307445 = 5¹×17¹×3617¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307440 and 307445.

LCM(307440,307445) = 2⁴×3²×5¹×7¹×17¹×61¹×3617¹
LCM(307440,307445) = 18904178160

Factors of 307440

List of positive integer factors of 307440 that divides 307440 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 61, 63, 70, 72, 80, 84, 90, 105, 112, 120, 122, 126, 140, 144, 168, 180, 183, 210, 240, 244, 252, 280, 305, 315, 336, 360, 366, 420, 427, 488, 504, 549, 560, 610, 630, 720, 732, 840, 854, 915, 976, 1008, 1098, 1220, 1260, 1281, 1464, 1680, 1708, 1830, 2135, 2196, 2440, 2520, 2562, 2745, 2928, 3416, 3660, 3843, 4270, 4392, 4880, 5040, 5124, 5490, 6405, 6832, 7320, 7686, 8540, 8784, 10248, 10980, 12810, 14640, 15372, 17080, 19215, 20496, 21960, 25620, 30744, 34160, 38430, 43920, 51240, 61488, 76860, 102480, 153720, 307440

Factors of 307445

List of positive integer factors of 307445 that divides 307445 without a remainder.

1, 5, 17, 85, 3617, 18085, 61489, 307445

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307440 and 307445, than apply into the LCM equation.

GCF(307440,307445) = 5
LCM(307440,307445) = ( 307440 × 307445) / 5
LCM(307440,307445) = 94520890800 / 5
LCM(307440,307445) = 18904178160

(i) The LCM of 307445 and 307440 is associative

LCM of 307440 and 307445 = LCM of 307445 and 307440

1. What is the LCM of 307440 and 307445?

Answer: LCM of 307440 and 307445 is 18904178160.

2. What are the Factors of 307440?

Answer: Factors of 307440 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 61, 63, 70, 72, 80, 84, 90, 105, 112, 120, 122, 126, 140, 144, 168, 180, 183, 210, 240, 244, 252, 280, 305, 315, 336, 360, 366, 420, 427, 488, 504, 549, 560, 610, 630, 720, 732, 840, 854, 915, 976, 1008, 1098, 1220, 1260, 1281, 1464, 1680, 1708, 1830, 2135, 2196, 2440, 2520, 2562, 2745, 2928, 3416, 3660, 3843, 4270, 4392, 4880, 5040, 5124, 5490, 6405, 6832, 7320, 7686, 8540, 8784, 10248, 10980, 12810, 14640, 15372, 17080, 19215, 20496, 21960, 25620, 30744, 34160, 38430, 43920, 51240, 61488, 76860, 102480, 153720, 307440. There are 120 integers that are factors of 307440. The greatest factor of 307440 is 307440.

3. What are the Factors of 307445?

Answer: Factors of 307445 are 1, 5, 17, 85, 3617, 18085, 61489, 307445. There are 8 integers that are factors of 307445. The greatest factor of 307445 is 307445.

4. How to Find the LCM of 307440 and 307445?

Answer:

Least Common Multiple of 307440 and 307445 = 18904178160

Step 1: Find the prime factorization of 307440

307440 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 61

Step 2: Find the prime factorization of 307445

307445 = 5 x 17 x 3617

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

LCM = 18904178160 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 61 x 3617

Step 4: Therefore, the least common multiple of 307440 and 307445 is 18904178160.