Least Common Multiple of 311424 and 311428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311424 and 311428 the smallest integer that is 24246538368 that is divisible by both numbers.

Least Common Multiple (LCM) of 311424 and 311428 is 24246538368.

LCM(311424,311428) = 24246538368

LCM of 311424 and 311428

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

LCM of:
and

Least Common Multiple of 311424 and 311428

LCM of 311424 and 311428 is 24246538368

Least common multiple can be found by multiplying the highest exponent prime factors of 311424 and 311428. First we will calculate the prime factors of 311424 and 311428.

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

Prime Factorization of 311428


2 311428
2 155714
13 77857
53 5989
113 113
1

Prime factors of 311428 are 2, 13, 53,113. Prime factorization of 311428 in exponential form is:

311428 = 22×131×531×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 311424 and 311428.

LCM(311424,311428) = 27×31×131×531×1131×8111
LCM(311424,311428) = 24246538368

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

Factors of 311428

List of positive integer factors of 311428 that divides 311428 without a remainder.

1, 2, 4, 13, 26, 52, 53, 106, 113, 212, 226, 452, 689, 1378, 1469, 2756, 2938, 5876, 5989, 11978, 23956, 77857, 155714, 311428

Least Common Multiple of 311424 and 311428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311424 and 311428, than apply into the LCM equation.

GCF(311424,311428) = 4
LCM(311424,311428) = ( 311424 × 311428) / 4
LCM(311424,311428) = 96986153472 / 4
LCM(311424,311428) = 24246538368

Properties of LCM 311424 and 311428

(i) The LCM of 311428 and 311424 is associative

LCM of 311424 and 311428 = LCM of 311428 and 311424

Related Least Common Multiples of 311424

Related Least Common Multiples of 311428

Frequently Asked Questions on LCM of 311424 and 311428

1. What is the LCM of 311424 and 311428?

Answer: LCM of 311424 and 311428 is 24246538368.

2. 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.

3. What are the Factors of 311428?

Answer: Factors of 311428 are 1, 2, 4, 13, 26, 52, 53, 106, 113, 212, 226, 452, 689, 1378, 1469, 2756, 2938, 5876, 5989, 11978, 23956, 77857, 155714, 311428. There are 24 integers that are factors of 311428. The greatest factor of 311428 is 311428.

4. How to Find the LCM of 311424 and 311428?

Answer:

Least Common Multiple of 311424 and 311428 = 24246538368

Step 1: 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 2: Find the prime factorization of 311428

311428 = 2 x 2 x 13 x 53 x 113

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

LCM = 24246538368 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 53 x 113 x 811

Step 4: Therefore, the least common multiple of 311424 and 311428 is 24246538368.