Least Common Multiple of 310419 and 310427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310419 and 310427 the smallest integer that is 96362438913 that is divisible by both numbers.

Least Common Multiple (LCM) of 310419 and 310427 is 96362438913.

LCM(310419,310427) = 96362438913

LCM of 310419 and 310427

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

LCM of:
and

Least Common Multiple of 310419 and 310427

LCM of 310419 and 310427 is 96362438913

Least common multiple can be found by multiplying the highest exponent prime factors of 310419 and 310427. First we will calculate the prime factors of 310419 and 310427.

Prime Factorization of 310419


3 310419
3 103473
3 34491
11497 11497
1

Prime factors of 310419 are 3,11497. Prime factorization of 310419 in exponential form is:

310419 = 33×114971

Prime Factorization of 310427


13 310427
23879 23879
1

Prime factors of 310427 are 13,23879. Prime factorization of 310427 in exponential form is:

310427 = 131×238791

Now multiplying the highest exponent prime factors to calculate the LCM of 310419 and 310427.

LCM(310419,310427) = 33×131×114971×238791
LCM(310419,310427) = 96362438913

Factors of 310419

List of positive integer factors of 310419 that divides 310419 without a remainder.

1, 3, 9, 27, 11497, 34491, 103473, 310419

Factors of 310427

List of positive integer factors of 310427 that divides 310427 without a remainder.

1, 13, 23879, 310427

Least Common Multiple of 310419 and 310427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310419 and 310427, than apply into the LCM equation.

GCF(310419,310427) = 1
LCM(310419,310427) = ( 310419 × 310427) / 1
LCM(310419,310427) = 96362438913 / 1
LCM(310419,310427) = 96362438913

Properties of LCM 310419 and 310427

(i) The LCM of 310427 and 310419 is associative

LCM of 310419 and 310427 = LCM of 310427 and 310419

Related Least Common Multiples of 310419

Related Least Common Multiples of 310427

Frequently Asked Questions on LCM of 310419 and 310427

1. What is the LCM of 310419 and 310427?

Answer: LCM of 310419 and 310427 is 96362438913.

2. What are the Factors of 310419?

Answer: Factors of 310419 are 1, 3, 9, 27, 11497, 34491, 103473, 310419. There are 8 integers that are factors of 310419. The greatest factor of 310419 is 310419.

3. What are the Factors of 310427?

Answer: Factors of 310427 are 1, 13, 23879, 310427. There are 4 integers that are factors of 310427. The greatest factor of 310427 is 310427.

4. How to Find the LCM of 310419 and 310427?

Answer:

Least Common Multiple of 310419 and 310427 = 96362438913

Step 1: Find the prime factorization of 310419

310419 = 3 x 3 x 3 x 11497

Step 2: Find the prime factorization of 310427

310427 = 13 x 23879

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

LCM = 96362438913 = 3 x 3 x 3 x 13 x 11497 x 23879

Step 4: Therefore, the least common multiple of 310419 and 310427 is 96362438913.