Least Common Multiple of 307432 and 307440

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

• Least Common Multiple of 307432 and 307440 by Prime method
• Least Common Multiple of 307432 and 307440 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307432 and 307440. First we will calculate the prime factors of 307432 and 307440.

Prime Factorization of 307432

Prime factors of 307432 are 2, 83,463. Prime factorization of 307432 in exponential form is:

307432 = 2³×83¹×463¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 307432 and 307440.

LCM(307432,307440) = 2⁴×3²×5¹×7¹×61¹×83¹×463¹
LCM(307432,307440) = 11814611760

Factors of 307432

List of positive integer factors of 307432 that divides 307432 without a remainder.

1, 2, 4, 8, 83, 166, 332, 463, 664, 926, 1852, 3704, 38429, 76858, 153716, 307432

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307432 and 307440, than apply into the LCM equation.

GCF(307432,307440) = 8
LCM(307432,307440) = ( 307432 × 307440) / 8
LCM(307432,307440) = 94516894080 / 8
LCM(307432,307440) = 11814611760

(i) The LCM of 307440 and 307432 is associative

LCM of 307432 and 307440 = LCM of 307440 and 307432

1. What is the LCM of 307432 and 307440?

Answer: LCM of 307432 and 307440 is 11814611760.

2. What are the Factors of 307432?

Answer: Factors of 307432 are 1, 2, 4, 8, 83, 166, 332, 463, 664, 926, 1852, 3704, 38429, 76858, 153716, 307432. There are 16 integers that are factors of 307432. The greatest factor of 307432 is 307432.

3. 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.

4. How to Find the LCM of 307432 and 307440?

Answer:

Least Common Multiple of 307432 and 307440 = 11814611760

Step 1: Find the prime factorization of 307432

307432 = 2 x 2 x 2 x 83 x 463

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11814611760 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 61 x 83 x 463

Step 4: Therefore, the least common multiple of 307432 and 307440 is 11814611760.