Least Common Multiple of 316428 and 316434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316428 and 316434 the smallest integer that is 16688096292 that is divisible by both numbers.

Least Common Multiple (LCM) of 316428 and 316434 is 16688096292.

LCM(316428,316434) = 16688096292

LCM of 316428 and 316434

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

LCM of:
and

Least Common Multiple of 316428 and 316434

LCM of 316428 and 316434 is 16688096292

Least common multiple can be found by multiplying the highest exponent prime factors of 316428 and 316434. First we will calculate the prime factors of 316428 and 316434.

Prime Factorization of 316428


2 316428
2 158214
3 79107
7 26369
3767 3767
1

Prime factors of 316428 are 2, 3, 7,3767. Prime factorization of 316428 in exponential form is:

316428 = 22×31×71×37671

Prime Factorization of 316434


2 316434
3 158217
23 52739
2293 2293
1

Prime factors of 316434 are 2, 3, 23,2293. Prime factorization of 316434 in exponential form is:

316434 = 21×31×231×22931

Now multiplying the highest exponent prime factors to calculate the LCM of 316428 and 316434.

LCM(316428,316434) = 22×31×71×231×22931×37671
LCM(316428,316434) = 16688096292

Factors of 316428

List of positive integer factors of 316428 that divides 316428 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 3767, 7534, 11301, 15068, 22602, 26369, 45204, 52738, 79107, 105476, 158214, 316428

Factors of 316434

List of positive integer factors of 316434 that divides 316434 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 2293, 4586, 6879, 13758, 52739, 105478, 158217, 316434

Least Common Multiple of 316428 and 316434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316428 and 316434, than apply into the LCM equation.

GCF(316428,316434) = 6
LCM(316428,316434) = ( 316428 × 316434) / 6
LCM(316428,316434) = 100128577752 / 6
LCM(316428,316434) = 16688096292

Properties of LCM 316428 and 316434

(i) The LCM of 316434 and 316428 is associative

LCM of 316428 and 316434 = LCM of 316434 and 316428

Related Least Common Multiples of 316428

Related Least Common Multiples of 316434

Frequently Asked Questions on LCM of 316428 and 316434

1. What is the LCM of 316428 and 316434?

Answer: LCM of 316428 and 316434 is 16688096292.

2. What are the Factors of 316428?

Answer: Factors of 316428 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 3767, 7534, 11301, 15068, 22602, 26369, 45204, 52738, 79107, 105476, 158214, 316428. There are 24 integers that are factors of 316428. The greatest factor of 316428 is 316428.

3. What are the Factors of 316434?

Answer: Factors of 316434 are 1, 2, 3, 6, 23, 46, 69, 138, 2293, 4586, 6879, 13758, 52739, 105478, 158217, 316434. There are 16 integers that are factors of 316434. The greatest factor of 316434 is 316434.

4. How to Find the LCM of 316428 and 316434?

Answer:

Least Common Multiple of 316428 and 316434 = 16688096292

Step 1: Find the prime factorization of 316428

316428 = 2 x 2 x 3 x 7 x 3767

Step 2: Find the prime factorization of 316434

316434 = 2 x 3 x 23 x 2293

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

LCM = 16688096292 = 2 x 2 x 3 x 7 x 23 x 2293 x 3767

Step 4: Therefore, the least common multiple of 316428 and 316434 is 16688096292.