Least Common Multiple of 316440 and 316448

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

• Least Common Multiple of 316440 and 316448 by Prime method
• Least Common Multiple of 316440 and 316448 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 316440 and 316448. First we will calculate the prime factors of 316440 and 316448.

Prime Factorization of 316440

Prime factors of 316440 are 2, 3, 5,293. Prime factorization of 316440 in exponential form is:

316440 = 2³×3³×5¹×293¹

Prime Factorization of 316448

Prime factors of 316448 are 2, 11, 29,31. Prime factorization of 316448 in exponential form is:

316448 = 2⁵×11¹×29¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 316440 and 316448.

LCM(316440,316448) = 2⁵×3³×5¹×11¹×29¹×31¹×293¹
LCM(316440,316448) = 12517100640

Factors of 316440

List of positive integer factors of 316440 that divides 316440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 293, 360, 540, 586, 879, 1080, 1172, 1465, 1758, 2344, 2637, 2930, 3516, 4395, 5274, 5860, 7032, 7911, 8790, 10548, 11720, 13185, 15822, 17580, 21096, 26370, 31644, 35160, 39555, 52740, 63288, 79110, 105480, 158220, 316440

Factors of 316448

List of positive integer factors of 316448 that divides 316448 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 31, 32, 44, 58, 62, 88, 116, 124, 176, 232, 248, 319, 341, 352, 464, 496, 638, 682, 899, 928, 992, 1276, 1364, 1798, 2552, 2728, 3596, 5104, 5456, 7192, 9889, 10208, 10912, 14384, 19778, 28768, 39556, 79112, 158224, 316448

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316440 and 316448, than apply into the LCM equation.

GCF(316440,316448) = 8
LCM(316440,316448) = ( 316440 × 316448) / 8
LCM(316440,316448) = 100136805120 / 8
LCM(316440,316448) = 12517100640

(i) The LCM of 316448 and 316440 is associative

LCM of 316440 and 316448 = LCM of 316448 and 316440

1. What is the LCM of 316440 and 316448?

Answer: LCM of 316440 and 316448 is 12517100640.

2. What are the Factors of 316440?

Answer: Factors of 316440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 293, 360, 540, 586, 879, 1080, 1172, 1465, 1758, 2344, 2637, 2930, 3516, 4395, 5274, 5860, 7032, 7911, 8790, 10548, 11720, 13185, 15822, 17580, 21096, 26370, 31644, 35160, 39555, 52740, 63288, 79110, 105480, 158220, 316440. There are 64 integers that are factors of 316440. The greatest factor of 316440 is 316440.

3. What are the Factors of 316448?

Answer: Factors of 316448 are 1, 2, 4, 8, 11, 16, 22, 29, 31, 32, 44, 58, 62, 88, 116, 124, 176, 232, 248, 319, 341, 352, 464, 496, 638, 682, 899, 928, 992, 1276, 1364, 1798, 2552, 2728, 3596, 5104, 5456, 7192, 9889, 10208, 10912, 14384, 19778, 28768, 39556, 79112, 158224, 316448. There are 48 integers that are factors of 316448. The greatest factor of 316448 is 316448.

4. How to Find the LCM of 316440 and 316448?

Answer:

Least Common Multiple of 316440 and 316448 = 12517100640

Step 1: Find the prime factorization of 316440

316440 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 293

Step 2: Find the prime factorization of 316448

316448 = 2 x 2 x 2 x 2 x 2 x 11 x 29 x 31

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

LCM = 12517100640 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 29 x 31 x 293

Step 4: Therefore, the least common multiple of 316440 and 316448 is 12517100640.