Least Common Multiple of 314424 and 314431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 314424 and 314431 the smallest integer that is 98864652744 that is divisible by both numbers.

Least Common Multiple (LCM) of 314424 and 314431 is 98864652744.

LCM(314424,314431) = 98864652744

LCM of 314424 and 314431

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

LCM of:
and

Least Common Multiple of 314424 and 314431

LCM of 314424 and 314431 is 98864652744

Least common multiple can be found by multiplying the highest exponent prime factors of 314424 and 314431. First we will calculate the prime factors of 314424 and 314431.

Prime Factorization of 314424


2 314424
2 157212
2 78606
3 39303
3 13101
11 4367
397 397
1

Prime factors of 314424 are 2, 3, 11,397. Prime factorization of 314424 in exponential form is:

314424 = 23×32×111×3971

Prime Factorization of 314431


13 314431
19 24187
19 1273
67 67
1

Prime factors of 314431 are 13, 19,67. Prime factorization of 314431 in exponential form is:

314431 = 131×192×671

Now multiplying the highest exponent prime factors to calculate the LCM of 314424 and 314431.

LCM(314424,314431) = 23×32×111×131×192×671×3971
LCM(314424,314431) = 98864652744

Factors of 314424

List of positive integer factors of 314424 that divides 314424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 397, 792, 794, 1191, 1588, 2382, 3176, 3573, 4367, 4764, 7146, 8734, 9528, 13101, 14292, 17468, 26202, 28584, 34936, 39303, 52404, 78606, 104808, 157212, 314424

Factors of 314431

List of positive integer factors of 314431 that divides 314431 without a remainder.

1, 13, 19, 67, 247, 361, 871, 1273, 4693, 16549, 24187, 314431

Least Common Multiple of 314424 and 314431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 314424 and 314431, than apply into the LCM equation.

GCF(314424,314431) = 1
LCM(314424,314431) = ( 314424 × 314431) / 1
LCM(314424,314431) = 98864652744 / 1
LCM(314424,314431) = 98864652744

Properties of LCM 314424 and 314431

(i) The LCM of 314431 and 314424 is associative

LCM of 314424 and 314431 = LCM of 314431 and 314424

Related Least Common Multiples of 314424

Related Least Common Multiples of 314431

Frequently Asked Questions on LCM of 314424 and 314431

1. What is the LCM of 314424 and 314431?

Answer: LCM of 314424 and 314431 is 98864652744.

2. What are the Factors of 314424?

Answer: Factors of 314424 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 397, 792, 794, 1191, 1588, 2382, 3176, 3573, 4367, 4764, 7146, 8734, 9528, 13101, 14292, 17468, 26202, 28584, 34936, 39303, 52404, 78606, 104808, 157212, 314424. There are 48 integers that are factors of 314424. The greatest factor of 314424 is 314424.

3. What are the Factors of 314431?

Answer: Factors of 314431 are 1, 13, 19, 67, 247, 361, 871, 1273, 4693, 16549, 24187, 314431. There are 12 integers that are factors of 314431. The greatest factor of 314431 is 314431.

4. How to Find the LCM of 314424 and 314431?

Answer:

Least Common Multiple of 314424 and 314431 = 98864652744

Step 1: Find the prime factorization of 314424

314424 = 2 x 2 x 2 x 3 x 3 x 11 x 397

Step 2: Find the prime factorization of 314431

314431 = 13 x 19 x 19 x 67

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

LCM = 98864652744 = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 19 x 19 x 67 x 397

Step 4: Therefore, the least common multiple of 314424 and 314431 is 98864652744.