Least Common Multiple of 309402 and 309408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309402 and 309408 the smallest integer that is 15955242336 that is divisible by both numbers.

Least Common Multiple (LCM) of 309402 and 309408 is 15955242336.

LCM(309402,309408) = 15955242336

LCM of 309402 and 309408

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

LCM of:
and

Least Common Multiple of 309402 and 309408

LCM of 309402 and 309408 is 15955242336

Least common multiple can be found by multiplying the highest exponent prime factors of 309402 and 309408. First we will calculate the prime factors of 309402 and 309408.

Prime Factorization of 309402


2 309402
3 154701
3 51567
17189 17189
1

Prime factors of 309402 are 2, 3,17189. Prime factorization of 309402 in exponential form is:

309402 = 21×32×171891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 309402 and 309408.

LCM(309402,309408) = 25×32×111×2931×171891
LCM(309402,309408) = 15955242336

Factors of 309402

List of positive integer factors of 309402 that divides 309402 without a remainder.

1, 2, 3, 6, 9, 18, 17189, 34378, 51567, 103134, 154701, 309402

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

Least Common Multiple of 309402 and 309408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309402 and 309408, than apply into the LCM equation.

GCF(309402,309408) = 6
LCM(309402,309408) = ( 309402 × 309408) / 6
LCM(309402,309408) = 95731454016 / 6
LCM(309402,309408) = 15955242336

Properties of LCM 309402 and 309408

(i) The LCM of 309408 and 309402 is associative

LCM of 309402 and 309408 = LCM of 309408 and 309402

Related Least Common Multiples of 309402

Related Least Common Multiples of 309408

Frequently Asked Questions on LCM of 309402 and 309408

1. What is the LCM of 309402 and 309408?

Answer: LCM of 309402 and 309408 is 15955242336.

2. What are the Factors of 309402?

Answer: Factors of 309402 are 1, 2, 3, 6, 9, 18, 17189, 34378, 51567, 103134, 154701, 309402. There are 12 integers that are factors of 309402. The greatest factor of 309402 is 309402.

3. 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.

4. How to Find the LCM of 309402 and 309408?

Answer:

Least Common Multiple of 309402 and 309408 = 15955242336

Step 1: Find the prime factorization of 309402

309402 = 2 x 3 x 3 x 17189

Step 2: Find the prime factorization of 309408

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

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

LCM = 15955242336 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 293 x 17189

Step 4: Therefore, the least common multiple of 309402 and 309408 is 15955242336.