Least Common Multiple of 311413 and 311419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311413 and 311419 the smallest integer that is 96979925047 that is divisible by both numbers.

Least Common Multiple (LCM) of 311413 and 311419 is 96979925047.

LCM(311413,311419) = 96979925047

LCM of 311413 and 311419

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

LCM of:
and

Least Common Multiple of 311413 and 311419

LCM of 311413 and 311419 is 96979925047

Least common multiple can be found by multiplying the highest exponent prime factors of 311413 and 311419. First we will calculate the prime factors of 311413 and 311419.

Prime Factorization of 311413


109 311413
2857 2857
1

Prime factors of 311413 are 109,2857. Prime factorization of 311413 in exponential form is:

311413 = 1091×28571

Prime Factorization of 311419


311419 311419
1

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

311419 = 3114191

Now multiplying the highest exponent prime factors to calculate the LCM of 311413 and 311419.

LCM(311413,311419) = 1091×28571×3114191
LCM(311413,311419) = 96979925047

Factors of 311413

List of positive integer factors of 311413 that divides 311413 without a remainder.

1, 109, 2857, 311413

Factors of 311419

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

1, 311419

Least Common Multiple of 311413 and 311419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311413 and 311419, than apply into the LCM equation.

GCF(311413,311419) = 1
LCM(311413,311419) = ( 311413 × 311419) / 1
LCM(311413,311419) = 96979925047 / 1
LCM(311413,311419) = 96979925047

Properties of LCM 311413 and 311419

(i) The LCM of 311419 and 311413 is associative

LCM of 311413 and 311419 = LCM of 311419 and 311413

Related Least Common Multiples of 311413

Related Least Common Multiples of 311419

Frequently Asked Questions on LCM of 311413 and 311419

1. What is the LCM of 311413 and 311419?

Answer: LCM of 311413 and 311419 is 96979925047.

2. What are the Factors of 311413?

Answer: Factors of 311413 are 1, 109, 2857, 311413. There are 4 integers that are factors of 311413. The greatest factor of 311413 is 311413.

3. 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.

4. How to Find the LCM of 311413 and 311419?

Answer:

Least Common Multiple of 311413 and 311419 = 96979925047

Step 1: Find the prime factorization of 311413

311413 = 109 x 2857

Step 2: Find the prime factorization of 311419

311419 = 311419

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

LCM = 96979925047 = 109 x 2857 x 311419

Step 4: Therefore, the least common multiple of 311413 and 311419 is 96979925047.