Least Common Multiple of 311420 and 311427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311420 and 311427 the smallest integer that is 96984596340 that is divisible by both numbers.

Least Common Multiple (LCM) of 311420 and 311427 is 96984596340.

LCM(311420,311427) = 96984596340

LCM of 311420 and 311427

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

LCM of:
and

Least Common Multiple of 311420 and 311427

LCM of 311420 and 311427 is 96984596340

Least common multiple can be found by multiplying the highest exponent prime factors of 311420 and 311427. First we will calculate the prime factors of 311420 and 311427.

Prime Factorization of 311420


2 311420
2 155710
5 77855
23 15571
677 677
1

Prime factors of 311420 are 2, 5, 23,677. Prime factorization of 311420 in exponential form is:

311420 = 22×51×231×6771

Prime Factorization of 311427


3 311427
3 103809
34603 34603
1

Prime factors of 311427 are 3,34603. Prime factorization of 311427 in exponential form is:

311427 = 32×346031

Now multiplying the highest exponent prime factors to calculate the LCM of 311420 and 311427.

LCM(311420,311427) = 22×32×51×231×6771×346031
LCM(311420,311427) = 96984596340

Factors of 311420

List of positive integer factors of 311420 that divides 311420 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460, 677, 1354, 2708, 3385, 6770, 13540, 15571, 31142, 62284, 77855, 155710, 311420

Factors of 311427

List of positive integer factors of 311427 that divides 311427 without a remainder.

1, 3, 9, 34603, 103809, 311427

Least Common Multiple of 311420 and 311427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311420 and 311427, than apply into the LCM equation.

GCF(311420,311427) = 1
LCM(311420,311427) = ( 311420 × 311427) / 1
LCM(311420,311427) = 96984596340 / 1
LCM(311420,311427) = 96984596340

Properties of LCM 311420 and 311427

(i) The LCM of 311427 and 311420 is associative

LCM of 311420 and 311427 = LCM of 311427 and 311420

Related Least Common Multiples of 311420

Related Least Common Multiples of 311427

Frequently Asked Questions on LCM of 311420 and 311427

1. What is the LCM of 311420 and 311427?

Answer: LCM of 311420 and 311427 is 96984596340.

2. What are the Factors of 311420?

Answer: Factors of 311420 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460, 677, 1354, 2708, 3385, 6770, 13540, 15571, 31142, 62284, 77855, 155710, 311420. There are 24 integers that are factors of 311420. The greatest factor of 311420 is 311420.

3. What are the Factors of 311427?

Answer: Factors of 311427 are 1, 3, 9, 34603, 103809, 311427. There are 6 integers that are factors of 311427. The greatest factor of 311427 is 311427.

4. How to Find the LCM of 311420 and 311427?

Answer:

Least Common Multiple of 311420 and 311427 = 96984596340

Step 1: Find the prime factorization of 311420

311420 = 2 x 2 x 5 x 23 x 677

Step 2: Find the prime factorization of 311427

311427 = 3 x 3 x 34603

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

LCM = 96984596340 = 2 x 2 x 3 x 3 x 5 x 23 x 677 x 34603

Step 4: Therefore, the least common multiple of 311420 and 311427 is 96984596340.