Least Common Multiple of 307440 and 307447

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

• Least Common Multiple of 307440 and 307447 by Prime method
• Least Common Multiple of 307440 and 307447 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307440 and 307447. First we will calculate the prime factors of 307440 and 307447.

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 307447

Prime factors of 307447 are 7, 167,263. Prime factorization of 307447 in exponential form is:

307447 = 7¹×167¹×263¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307440 and 307447.

LCM(307440,307447) = 2⁴×3²×5¹×7¹×61¹×167¹×263¹
LCM(307440,307447) = 13503072240

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 307447

List of positive integer factors of 307447 that divides 307447 without a remainder.

1, 7, 167, 263, 1169, 1841, 43921, 307447

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307440 and 307447, than apply into the LCM equation.

GCF(307440,307447) = 7
LCM(307440,307447) = ( 307440 × 307447) / 7
LCM(307440,307447) = 94521505680 / 7
LCM(307440,307447) = 13503072240

(i) The LCM of 307447 and 307440 is associative

LCM of 307440 and 307447 = LCM of 307447 and 307440

1. What is the LCM of 307440 and 307447?

Answer: LCM of 307440 and 307447 is 13503072240.

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 307447?

Answer: Factors of 307447 are 1, 7, 167, 263, 1169, 1841, 43921, 307447. There are 8 integers that are factors of 307447. The greatest factor of 307447 is 307447.

4. How to Find the LCM of 307440 and 307447?

Answer:

Least Common Multiple of 307440 and 307447 = 13503072240

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 307447

307447 = 7 x 167 x 263

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

LCM = 13503072240 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 61 x 167 x 263

Step 4: Therefore, the least common multiple of 307440 and 307447 is 13503072240.