Least Common Multiple of 316414 and 316417

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

• Least Common Multiple of 316414 and 316417 by Prime method
• Least Common Multiple of 316414 and 316417 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 316414 and 316417. First we will calculate the prime factors of 316414 and 316417.

Prime Factorization of 316414

Prime factors of 316414 are 2, 7, 97,233. Prime factorization of 316414 in exponential form is:

316414 = 2¹×7¹×97¹×233¹

Prime Factorization of 316417

Prime factors of 316417 are 31, 59,173. Prime factorization of 316417 in exponential form is:

316417 = 31¹×59¹×173¹

Now multiplying the highest exponent prime factors to calculate the LCM of 316414 and 316417.

LCM(316414,316417) = 2¹×7¹×31¹×59¹×97¹×173¹×233¹
LCM(316414,316417) = 100118768638

Factors of 316414

List of positive integer factors of 316414 that divides 316414 without a remainder.

1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414

Factors of 316417

List of positive integer factors of 316417 that divides 316417 without a remainder.

1, 31, 59, 173, 1829, 5363, 10207, 316417

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316414 and 316417, than apply into the LCM equation.

GCF(316414,316417) = 1
LCM(316414,316417) = ( 316414 × 316417) / 1
LCM(316414,316417) = 100118768638 / 1
LCM(316414,316417) = 100118768638

(i) The LCM of 316417 and 316414 is associative

LCM of 316414 and 316417 = LCM of 316417 and 316414

1. What is the LCM of 316414 and 316417?

Answer: LCM of 316414 and 316417 is 100118768638.

2. What are the Factors of 316414?

Answer: Factors of 316414 are 1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414. There are 16 integers that are factors of 316414. The greatest factor of 316414 is 316414.

3. What are the Factors of 316417?

Answer: Factors of 316417 are 1, 31, 59, 173, 1829, 5363, 10207, 316417. There are 8 integers that are factors of 316417. The greatest factor of 316417 is 316417.

4. How to Find the LCM of 316414 and 316417?

Answer:

Least Common Multiple of 316414 and 316417 = 100118768638

Step 1: Find the prime factorization of 316414

316414 = 2 x 7 x 97 x 233

Step 2: Find the prime factorization of 316417

316417 = 31 x 59 x 173

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

LCM = 100118768638 = 2 x 7 x 31 x 59 x 97 x 173 x 233

Step 4: Therefore, the least common multiple of 316414 and 316417 is 100118768638.