Least Common Multiple of 307440 and 307448

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

• Least Common Multiple of 307440 and 307448 by Prime method
• Least Common Multiple of 307440 and 307448 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307440 and 307448. First we will calculate the prime factors of 307440 and 307448.

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 307448

Prime factors of 307448 are 2,38431. Prime factorization of 307448 in exponential form is:

307448 = 2³×38431¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307440 and 307448.

LCM(307440,307448) = 2⁴×3²×5¹×7¹×61¹×38431¹
LCM(307440,307448) = 11815226640

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 307448

List of positive integer factors of 307448 that divides 307448 without a remainder.

1, 2, 4, 8, 38431, 76862, 153724, 307448

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307440 and 307448, than apply into the LCM equation.

GCF(307440,307448) = 8
LCM(307440,307448) = ( 307440 × 307448) / 8
LCM(307440,307448) = 94521813120 / 8
LCM(307440,307448) = 11815226640

(i) The LCM of 307448 and 307440 is associative

LCM of 307440 and 307448 = LCM of 307448 and 307440

1. What is the LCM of 307440 and 307448?

Answer: LCM of 307440 and 307448 is 11815226640.

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 307448?

Answer: Factors of 307448 are 1, 2, 4, 8, 38431, 76862, 153724, 307448. There are 8 integers that are factors of 307448. The greatest factor of 307448 is 307448.

4. How to Find the LCM of 307440 and 307448?

Answer:

Least Common Multiple of 307440 and 307448 = 11815226640

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 307448

307448 = 2 x 2 x 2 x 38431

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

LCM = 11815226640 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 61 x 38431

Step 4: Therefore, the least common multiple of 307440 and 307448 is 11815226640.