Least Common Multiple of 313419 and 313423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313419 and 313423 the smallest integer that is 98232723237 that is divisible by both numbers.

Least Common Multiple (LCM) of 313419 and 313423 is 98232723237.

LCM(313419,313423) = 98232723237

LCM of 313419 and 313423

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

LCM of:
and

Least Common Multiple of 313419 and 313423

LCM of 313419 and 313423 is 98232723237

Least common multiple can be found by multiplying the highest exponent prime factors of 313419 and 313423. First we will calculate the prime factors of 313419 and 313423.

Prime Factorization of 313419


3 313419
104473 104473
1

Prime factors of 313419 are 3,104473. Prime factorization of 313419 in exponential form is:

313419 = 31×1044731

Prime Factorization of 313423


11 313423
28493 28493
1

Prime factors of 313423 are 11,28493. Prime factorization of 313423 in exponential form is:

313423 = 111×284931

Now multiplying the highest exponent prime factors to calculate the LCM of 313419 and 313423.

LCM(313419,313423) = 31×111×284931×1044731
LCM(313419,313423) = 98232723237

Factors of 313419

List of positive integer factors of 313419 that divides 313419 without a remainder.

1, 3, 104473, 313419

Factors of 313423

List of positive integer factors of 313423 that divides 313423 without a remainder.

1, 11, 28493, 313423

Least Common Multiple of 313419 and 313423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313419 and 313423, than apply into the LCM equation.

GCF(313419,313423) = 1
LCM(313419,313423) = ( 313419 × 313423) / 1
LCM(313419,313423) = 98232723237 / 1
LCM(313419,313423) = 98232723237

Properties of LCM 313419 and 313423

(i) The LCM of 313423 and 313419 is associative

LCM of 313419 and 313423 = LCM of 313423 and 313419

Related Least Common Multiples of 313419

Related Least Common Multiples of 313423

Frequently Asked Questions on LCM of 313419 and 313423

1. What is the LCM of 313419 and 313423?

Answer: LCM of 313419 and 313423 is 98232723237.

2. What are the Factors of 313419?

Answer: Factors of 313419 are 1, 3, 104473, 313419. There are 4 integers that are factors of 313419. The greatest factor of 313419 is 313419.

3. What are the Factors of 313423?

Answer: Factors of 313423 are 1, 11, 28493, 313423. There are 4 integers that are factors of 313423. The greatest factor of 313423 is 313423.

4. How to Find the LCM of 313419 and 313423?

Answer:

Least Common Multiple of 313419 and 313423 = 98232723237

Step 1: Find the prime factorization of 313419

313419 = 3 x 104473

Step 2: Find the prime factorization of 313423

313423 = 11 x 28493

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

LCM = 98232723237 = 3 x 11 x 28493 x 104473

Step 4: Therefore, the least common multiple of 313419 and 313423 is 98232723237.