Least Common Multiple of 310417 and 310423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310417 and 310423 the smallest integer that is 96360576391 that is divisible by both numbers.

Least Common Multiple (LCM) of 310417 and 310423 is 96360576391.

LCM(310417,310423) = 96360576391

LCM of 310417 and 310423

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

LCM of:
and

Least Common Multiple of 310417 and 310423

LCM of 310417 and 310423 is 96360576391

Least common multiple can be found by multiplying the highest exponent prime factors of 310417 and 310423. First we will calculate the prime factors of 310417 and 310423.

Prime Factorization of 310417


43 310417
7219 7219
1

Prime factors of 310417 are 43,7219. Prime factorization of 310417 in exponential form is:

310417 = 431×72191

Prime Factorization of 310423


310423 310423
1

Prime factors of 310423 are 310423. Prime factorization of 310423 in exponential form is:

310423 = 3104231

Now multiplying the highest exponent prime factors to calculate the LCM of 310417 and 310423.

LCM(310417,310423) = 431×72191×3104231
LCM(310417,310423) = 96360576391

Factors of 310417

List of positive integer factors of 310417 that divides 310417 without a remainder.

1, 43, 7219, 310417

Factors of 310423

List of positive integer factors of 310423 that divides 310423 without a remainder.

1, 310423

Least Common Multiple of 310417 and 310423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310417 and 310423, than apply into the LCM equation.

GCF(310417,310423) = 1
LCM(310417,310423) = ( 310417 × 310423) / 1
LCM(310417,310423) = 96360576391 / 1
LCM(310417,310423) = 96360576391

Properties of LCM 310417 and 310423

(i) The LCM of 310423 and 310417 is associative

LCM of 310417 and 310423 = LCM of 310423 and 310417

Related Least Common Multiples of 310417

Related Least Common Multiples of 310423

Frequently Asked Questions on LCM of 310417 and 310423

1. What is the LCM of 310417 and 310423?

Answer: LCM of 310417 and 310423 is 96360576391.

2. What are the Factors of 310417?

Answer: Factors of 310417 are 1, 43, 7219, 310417. There are 4 integers that are factors of 310417. The greatest factor of 310417 is 310417.

3. What are the Factors of 310423?

Answer: Factors of 310423 are 1, 310423. There are 2 integers that are factors of 310423. The greatest factor of 310423 is 310423.

4. How to Find the LCM of 310417 and 310423?

Answer:

Least Common Multiple of 310417 and 310423 = 96360576391

Step 1: Find the prime factorization of 310417

310417 = 43 x 7219

Step 2: Find the prime factorization of 310423

310423 = 310423

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

LCM = 96360576391 = 43 x 7219 x 310423

Step 4: Therefore, the least common multiple of 310417 and 310423 is 96360576391.