Least Common Multiple of 311419 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 311419 and 311427 the smallest integer that is 96984284913 that is divisible by both numbers.

Least Common Multiple (LCM) of 311419 and 311427 is 96984284913.

LCM(311419,311427) = 96984284913

LCM of 311419 and 311427

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

LCM of:
and

Least Common Multiple of 311419 and 311427

LCM of 311419 and 311427 is 96984284913

Least common multiple can be found by multiplying the highest exponent prime factors of 311419 and 311427. First we will calculate the prime factors of 311419 and 311427.

Prime Factorization of 311419


311419 311419
1

Prime factors of 311419 are 311419. Prime factorization of 311419 in exponential form is:

311419 = 3114191

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 311419 and 311427.

LCM(311419,311427) = 32×346031×3114191
LCM(311419,311427) = 96984284913

Factors of 311419

List of positive integer factors of 311419 that divides 311419 without a remainder.

1, 311419

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 311419 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 311419 and 311427, than apply into the LCM equation.

GCF(311419,311427) = 1
LCM(311419,311427) = ( 311419 × 311427) / 1
LCM(311419,311427) = 96984284913 / 1
LCM(311419,311427) = 96984284913

Properties of LCM 311419 and 311427

(i) The LCM of 311427 and 311419 is associative

LCM of 311419 and 311427 = LCM of 311427 and 311419

Related Least Common Multiples of 311419

Related Least Common Multiples of 311427

Frequently Asked Questions on LCM of 311419 and 311427

1. What is the LCM of 311419 and 311427?

Answer: LCM of 311419 and 311427 is 96984284913.

2. What are the Factors of 311419?

Answer: Factors of 311419 are 1, 311419. There are 2 integers that are factors of 311419. The greatest factor of 311419 is 311419.

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 311419 and 311427?

Answer:

Least Common Multiple of 311419 and 311427 = 96984284913

Step 1: Find the prime factorization of 311419

311419 = 311419

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 = 96984284913 = 3 x 3 x 34603 x 311419

Step 4: Therefore, the least common multiple of 311419 and 311427 is 96984284913.