Least Common Multiple of 309408 and 309413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309408 and 309413 the smallest integer that is 95734857504 that is divisible by both numbers.

Least Common Multiple (LCM) of 309408 and 309413 is 95734857504.

LCM(309408,309413) = 95734857504

LCM of 309408 and 309413

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

LCM of:
and

Least Common Multiple of 309408 and 309413

LCM of 309408 and 309413 is 95734857504

Least common multiple can be found by multiplying the highest exponent prime factors of 309408 and 309413. First we will calculate the prime factors of 309408 and 309413.

Prime Factorization of 309408


2 309408
2 154704
2 77352
2 38676
2 19338
3 9669
11 3223
293 293
1

Prime factors of 309408 are 2, 3, 11,293. Prime factorization of 309408 in exponential form is:

309408 = 25×31×111×2931

Prime Factorization of 309413


13 309413
23801 23801
1

Prime factors of 309413 are 13,23801. Prime factorization of 309413 in exponential form is:

309413 = 131×238011

Now multiplying the highest exponent prime factors to calculate the LCM of 309408 and 309413.

LCM(309408,309413) = 25×31×111×131×2931×238011
LCM(309408,309413) = 95734857504

Factors of 309408

List of positive integer factors of 309408 that divides 309408 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 293, 352, 528, 586, 879, 1056, 1172, 1758, 2344, 3223, 3516, 4688, 6446, 7032, 9376, 9669, 12892, 14064, 19338, 25784, 28128, 38676, 51568, 77352, 103136, 154704, 309408

Factors of 309413

List of positive integer factors of 309413 that divides 309413 without a remainder.

1, 13, 23801, 309413

Least Common Multiple of 309408 and 309413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309408 and 309413, than apply into the LCM equation.

GCF(309408,309413) = 1
LCM(309408,309413) = ( 309408 × 309413) / 1
LCM(309408,309413) = 95734857504 / 1
LCM(309408,309413) = 95734857504

Properties of LCM 309408 and 309413

(i) The LCM of 309413 and 309408 is associative

LCM of 309408 and 309413 = LCM of 309413 and 309408

Related Least Common Multiples of 309408

Related Least Common Multiples of 309413

Frequently Asked Questions on LCM of 309408 and 309413

1. What is the LCM of 309408 and 309413?

Answer: LCM of 309408 and 309413 is 95734857504.

2. What are the Factors of 309408?

Answer: Factors of 309408 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 293, 352, 528, 586, 879, 1056, 1172, 1758, 2344, 3223, 3516, 4688, 6446, 7032, 9376, 9669, 12892, 14064, 19338, 25784, 28128, 38676, 51568, 77352, 103136, 154704, 309408. There are 48 integers that are factors of 309408. The greatest factor of 309408 is 309408.

3. What are the Factors of 309413?

Answer: Factors of 309413 are 1, 13, 23801, 309413. There are 4 integers that are factors of 309413. The greatest factor of 309413 is 309413.

4. How to Find the LCM of 309408 and 309413?

Answer:

Least Common Multiple of 309408 and 309413 = 95734857504

Step 1: Find the prime factorization of 309408

309408 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 293

Step 2: Find the prime factorization of 309413

309413 = 13 x 23801

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

LCM = 95734857504 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 293 x 23801

Step 4: Therefore, the least common multiple of 309408 and 309413 is 95734857504.