Least Common Multiple of 309408 and 309416

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 309416 the smallest integer that is 11966973216 that is divisible by both numbers.

Least Common Multiple (LCM) of 309408 and 309416 is 11966973216.

LCM(309408,309416) = 11966973216

LCM of 309408 and 309416

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

LCM of:
and

Least Common Multiple of 309408 and 309416

LCM of 309408 and 309416 is 11966973216

Least common multiple can be found by multiplying the highest exponent prime factors of 309408 and 309416. First we will calculate the prime factors of 309408 and 309416.

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 309416


2 309416
2 154708
2 77354
38677 38677
1

Prime factors of 309416 are 2,38677. Prime factorization of 309416 in exponential form is:

309416 = 23×386771

Now multiplying the highest exponent prime factors to calculate the LCM of 309408 and 309416.

LCM(309408,309416) = 25×31×111×2931×386771
LCM(309408,309416) = 11966973216

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 309416

List of positive integer factors of 309416 that divides 309416 without a remainder.

1, 2, 4, 8, 38677, 77354, 154708, 309416

Least Common Multiple of 309408 and 309416 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 309416, than apply into the LCM equation.

GCF(309408,309416) = 8
LCM(309408,309416) = ( 309408 × 309416) / 8
LCM(309408,309416) = 95735785728 / 8
LCM(309408,309416) = 11966973216

Properties of LCM 309408 and 309416

(i) The LCM of 309416 and 309408 is associative

LCM of 309408 and 309416 = LCM of 309416 and 309408

Related Least Common Multiples of 309408

Related Least Common Multiples of 309416

Frequently Asked Questions on LCM of 309408 and 309416

1. What is the LCM of 309408 and 309416?

Answer: LCM of 309408 and 309416 is 11966973216.

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 309416?

Answer: Factors of 309416 are 1, 2, 4, 8, 38677, 77354, 154708, 309416. There are 8 integers that are factors of 309416. The greatest factor of 309416 is 309416.

4. How to Find the LCM of 309408 and 309416?

Answer:

Least Common Multiple of 309408 and 309416 = 11966973216

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 309416

309416 = 2 x 2 x 2 x 38677

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

LCM = 11966973216 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 293 x 38677

Step 4: Therefore, the least common multiple of 309408 and 309416 is 11966973216.