Least Common Multiple of 316412 and 316418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316412 and 316418 the smallest integer that is 50059226108 that is divisible by both numbers.

Least Common Multiple (LCM) of 316412 and 316418 is 50059226108.

LCM(316412,316418) = 50059226108

LCM of 316412 and 316418

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

LCM of:
and

Least Common Multiple of 316412 and 316418

LCM of 316412 and 316418 is 50059226108

Least common multiple can be found by multiplying the highest exponent prime factors of 316412 and 316418. First we will calculate the prime factors of 316412 and 316418.

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

Prime Factorization of 316418


2 316418
158209 158209
1

Prime factors of 316418 are 2,158209. Prime factorization of 316418 in exponential form is:

316418 = 21×1582091

Now multiplying the highest exponent prime factors to calculate the LCM of 316412 and 316418.

LCM(316412,316418) = 22×791031×1582091
LCM(316412,316418) = 50059226108

Factors of 316412

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

1, 2, 4, 79103, 158206, 316412

Factors of 316418

List of positive integer factors of 316418 that divides 316418 without a remainder.

1, 2, 158209, 316418

Least Common Multiple of 316412 and 316418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316412 and 316418, than apply into the LCM equation.

GCF(316412,316418) = 2
LCM(316412,316418) = ( 316412 × 316418) / 2
LCM(316412,316418) = 100118452216 / 2
LCM(316412,316418) = 50059226108

Properties of LCM 316412 and 316418

(i) The LCM of 316418 and 316412 is associative

LCM of 316412 and 316418 = LCM of 316418 and 316412

Related Least Common Multiples of 316412

Related Least Common Multiples of 316418

Frequently Asked Questions on LCM of 316412 and 316418

1. What is the LCM of 316412 and 316418?

Answer: LCM of 316412 and 316418 is 50059226108.

2. 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.

3. What are the Factors of 316418?

Answer: Factors of 316418 are 1, 2, 158209, 316418. There are 4 integers that are factors of 316418. The greatest factor of 316418 is 316418.

4. How to Find the LCM of 316412 and 316418?

Answer:

Least Common Multiple of 316412 and 316418 = 50059226108

Step 1: Find the prime factorization of 316412

316412 = 2 x 2 x 79103

Step 2: Find the prime factorization of 316418

316418 = 2 x 158209

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

LCM = 50059226108 = 2 x 2 x 79103 x 158209

Step 4: Therefore, the least common multiple of 316412 and 316418 is 50059226108.