Least Common Multiple of 316407 and 316412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316407 and 316412 the smallest integer that is 100114971684 that is divisible by both numbers.

Least Common Multiple (LCM) of 316407 and 316412 is 100114971684.

LCM(316407,316412) = 100114971684

LCM of 316407 and 316412

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

LCM of:
and

Least Common Multiple of 316407 and 316412

LCM of 316407 and 316412 is 100114971684

Least common multiple can be found by multiplying the highest exponent prime factors of 316407 and 316412. First we will calculate the prime factors of 316407 and 316412.

Prime Factorization of 316407


3 316407
7 105469
13 15067
19 1159
61 61
1

Prime factors of 316407 are 3, 7, 13, 19,61. Prime factorization of 316407 in exponential form is:

316407 = 31×71×131×191×611

Prime Factorization of 316412


2 316412
2 158206
79103 79103
1

Prime factors of 316412 are 2,79103. Prime factorization of 316412 in exponential form is:

316412 = 22×791031

Now multiplying the highest exponent prime factors to calculate the LCM of 316407 and 316412.

LCM(316407,316412) = 22×31×71×131×191×611×791031
LCM(316407,316412) = 100114971684

Factors of 316407

List of positive integer factors of 316407 that divides 316407 without a remainder.

1, 3, 7, 13, 19, 21, 39, 57, 61, 91, 133, 183, 247, 273, 399, 427, 741, 793, 1159, 1281, 1729, 2379, 3477, 5187, 5551, 8113, 15067, 16653, 24339, 45201, 105469, 316407

Factors of 316412

List of positive integer factors of 316412 that divides 316412 without a remainder.

1, 2, 4, 79103, 158206, 316412

Least Common Multiple of 316407 and 316412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316407 and 316412, than apply into the LCM equation.

GCF(316407,316412) = 1
LCM(316407,316412) = ( 316407 × 316412) / 1
LCM(316407,316412) = 100114971684 / 1
LCM(316407,316412) = 100114971684

Properties of LCM 316407 and 316412

(i) The LCM of 316412 and 316407 is associative

LCM of 316407 and 316412 = LCM of 316412 and 316407

Related Least Common Multiples of 316407

Related Least Common Multiples of 316412

Frequently Asked Questions on LCM of 316407 and 316412

1. What is the LCM of 316407 and 316412?

Answer: LCM of 316407 and 316412 is 100114971684.

2. What are the Factors of 316407?

Answer: Factors of 316407 are 1, 3, 7, 13, 19, 21, 39, 57, 61, 91, 133, 183, 247, 273, 399, 427, 741, 793, 1159, 1281, 1729, 2379, 3477, 5187, 5551, 8113, 15067, 16653, 24339, 45201, 105469, 316407. There are 32 integers that are factors of 316407. The greatest factor of 316407 is 316407.

3. What are the Factors of 316412?

Answer: Factors of 316412 are 1, 2, 4, 79103, 158206, 316412. There are 6 integers that are factors of 316412. The greatest factor of 316412 is 316412.

4. How to Find the LCM of 316407 and 316412?

Answer:

Least Common Multiple of 316407 and 316412 = 100114971684

Step 1: Find the prime factorization of 316407

316407 = 3 x 7 x 13 x 19 x 61

Step 2: Find the prime factorization of 316412

316412 = 2 x 2 x 79103

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

LCM = 100114971684 = 2 x 2 x 3 x 7 x 13 x 19 x 61 x 79103

Step 4: Therefore, the least common multiple of 316407 and 316412 is 100114971684.