Least Common Multiple of 311419 and 311424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311419 and 311424 the smallest integer that is 96983350656 that is divisible by both numbers.

Least Common Multiple (LCM) of 311419 and 311424 is 96983350656.

LCM(311419,311424) = 96983350656

LCM of 311419 and 311424

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

LCM of:
and

Least Common Multiple of 311419 and 311424

LCM of 311419 and 311424 is 96983350656

Least common multiple can be found by multiplying the highest exponent prime factors of 311419 and 311424. First we will calculate the prime factors of 311419 and 311424.

Prime Factorization of 311419


311419 311419
1

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

311419 = 3114191

Prime Factorization of 311424


2 311424
2 155712
2 77856
2 38928
2 19464
2 9732
2 4866
3 2433
811 811
1

Prime factors of 311424 are 2, 3,811. Prime factorization of 311424 in exponential form is:

311424 = 27×31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 311419 and 311424.

LCM(311419,311424) = 27×31×8111×3114191
LCM(311419,311424) = 96983350656

Factors of 311419

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

1, 311419

Factors of 311424

List of positive integer factors of 311424 that divides 311424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464, 25952, 38928, 51904, 77856, 103808, 155712, 311424

Least Common Multiple of 311419 and 311424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311419 and 311424, than apply into the LCM equation.

GCF(311419,311424) = 1
LCM(311419,311424) = ( 311419 × 311424) / 1
LCM(311419,311424) = 96983350656 / 1
LCM(311419,311424) = 96983350656

Properties of LCM 311419 and 311424

(i) The LCM of 311424 and 311419 is associative

LCM of 311419 and 311424 = LCM of 311424 and 311419

Related Least Common Multiples of 311419

Related Least Common Multiples of 311424

Frequently Asked Questions on LCM of 311419 and 311424

1. What is the LCM of 311419 and 311424?

Answer: LCM of 311419 and 311424 is 96983350656.

2. 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.

3. What are the Factors of 311424?

Answer: Factors of 311424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464, 25952, 38928, 51904, 77856, 103808, 155712, 311424. There are 32 integers that are factors of 311424. The greatest factor of 311424 is 311424.

4. How to Find the LCM of 311419 and 311424?

Answer:

Least Common Multiple of 311419 and 311424 = 96983350656

Step 1: Find the prime factorization of 311419

311419 = 311419

Step 2: Find the prime factorization of 311424

311424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 811

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

LCM = 96983350656 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 811 x 311419

Step 4: Therefore, the least common multiple of 311419 and 311424 is 96983350656.