Least Common Multiple of 313419 and 313424

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 313424 the smallest integer that is 98233036656 that is divisible by both numbers.

Least Common Multiple (LCM) of 313419 and 313424 is 98233036656.

LCM(313419,313424) = 98233036656

LCM of 313419 and 313424

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

LCM of:
and

Least Common Multiple of 313419 and 313424

LCM of 313419 and 313424 is 98233036656

Least common multiple can be found by multiplying the highest exponent prime factors of 313419 and 313424. First we will calculate the prime factors of 313419 and 313424.

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 313424


2 313424
2 156712
2 78356
2 39178
19 19589
1031 1031
1

Prime factors of 313424 are 2, 19,1031. Prime factorization of 313424 in exponential form is:

313424 = 24×191×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 313419 and 313424.

LCM(313419,313424) = 24×31×191×10311×1044731
LCM(313419,313424) = 98233036656

Factors of 313419

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

1, 3, 104473, 313419

Factors of 313424

List of positive integer factors of 313424 that divides 313424 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 1031, 2062, 4124, 8248, 16496, 19589, 39178, 78356, 156712, 313424

Least Common Multiple of 313419 and 313424 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 313424, than apply into the LCM equation.

GCF(313419,313424) = 1
LCM(313419,313424) = ( 313419 × 313424) / 1
LCM(313419,313424) = 98233036656 / 1
LCM(313419,313424) = 98233036656

Properties of LCM 313419 and 313424

(i) The LCM of 313424 and 313419 is associative

LCM of 313419 and 313424 = LCM of 313424 and 313419

Related Least Common Multiples of 313419

Related Least Common Multiples of 313424

Frequently Asked Questions on LCM of 313419 and 313424

1. What is the LCM of 313419 and 313424?

Answer: LCM of 313419 and 313424 is 98233036656.

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 313424?

Answer: Factors of 313424 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 1031, 2062, 4124, 8248, 16496, 19589, 39178, 78356, 156712, 313424. There are 20 integers that are factors of 313424. The greatest factor of 313424 is 313424.

4. How to Find the LCM of 313419 and 313424?

Answer:

Least Common Multiple of 313419 and 313424 = 98233036656

Step 1: Find the prime factorization of 313419

313419 = 3 x 104473

Step 2: Find the prime factorization of 313424

313424 = 2 x 2 x 2 x 2 x 19 x 1031

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

LCM = 98233036656 = 2 x 2 x 2 x 2 x 3 x 19 x 1031 x 104473

Step 4: Therefore, the least common multiple of 313419 and 313424 is 98233036656.