Least Common Multiple of 313414 and 313416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313414 and 313416 the smallest integer that is 49114481112 that is divisible by both numbers.

Least Common Multiple (LCM) of 313414 and 313416 is 49114481112.

LCM(313414,313416) = 49114481112

LCM of 313414 and 313416

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

LCM of:
and

Least Common Multiple of 313414 and 313416

LCM of 313414 and 313416 is 49114481112

Least common multiple can be found by multiplying the highest exponent prime factors of 313414 and 313416. First we will calculate the prime factors of 313414 and 313416.

Prime Factorization of 313414


2 313414
156707 156707
1

Prime factors of 313414 are 2,156707. Prime factorization of 313414 in exponential form is:

313414 = 21×1567071

Prime Factorization of 313416


2 313416
2 156708
2 78354
3 39177
3 13059
3 4353
1451 1451
1

Prime factors of 313416 are 2, 3,1451. Prime factorization of 313416 in exponential form is:

313416 = 23×33×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 313414 and 313416.

LCM(313414,313416) = 23×33×14511×1567071
LCM(313414,313416) = 49114481112

Factors of 313414

List of positive integer factors of 313414 that divides 313414 without a remainder.

1, 2, 156707, 313414

Factors of 313416

List of positive integer factors of 313416 that divides 313416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 1451, 2902, 4353, 5804, 8706, 11608, 13059, 17412, 26118, 34824, 39177, 52236, 78354, 104472, 156708, 313416

Least Common Multiple of 313414 and 313416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313414 and 313416, than apply into the LCM equation.

GCF(313414,313416) = 2
LCM(313414,313416) = ( 313414 × 313416) / 2
LCM(313414,313416) = 98228962224 / 2
LCM(313414,313416) = 49114481112

Properties of LCM 313414 and 313416

(i) The LCM of 313416 and 313414 is associative

LCM of 313414 and 313416 = LCM of 313416 and 313414

Related Least Common Multiples of 313414

Related Least Common Multiples of 313416

Frequently Asked Questions on LCM of 313414 and 313416

1. What is the LCM of 313414 and 313416?

Answer: LCM of 313414 and 313416 is 49114481112.

2. What are the Factors of 313414?

Answer: Factors of 313414 are 1, 2, 156707, 313414. There are 4 integers that are factors of 313414. The greatest factor of 313414 is 313414.

3. What are the Factors of 313416?

Answer: Factors of 313416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 1451, 2902, 4353, 5804, 8706, 11608, 13059, 17412, 26118, 34824, 39177, 52236, 78354, 104472, 156708, 313416. There are 32 integers that are factors of 313416. The greatest factor of 313416 is 313416.

4. How to Find the LCM of 313414 and 313416?

Answer:

Least Common Multiple of 313414 and 313416 = 49114481112

Step 1: Find the prime factorization of 313414

313414 = 2 x 156707

Step 2: Find the prime factorization of 313416

313416 = 2 x 2 x 2 x 3 x 3 x 3 x 1451

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

LCM = 49114481112 = 2 x 2 x 2 x 3 x 3 x 3 x 1451 x 156707

Step 4: Therefore, the least common multiple of 313414 and 313416 is 49114481112.