Least Common Multiple of 309406 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 309406 and 309408 the smallest integer that is 47866345824 that is divisible by both numbers.

Least Common Multiple (LCM) of 309406 and 309408 is 47866345824.

LCM(309406,309408) = 47866345824

LCM of 309406 and 309408

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

LCM of:
and

Least Common Multiple of 309406 and 309408

LCM of 309406 and 309408 is 47866345824

Least common multiple can be found by multiplying the highest exponent prime factors of 309406 and 309408. First we will calculate the prime factors of 309406 and 309408.

Prime Factorization of 309406


2 309406
67 154703
2309 2309
1

Prime factors of 309406 are 2, 67,2309. Prime factorization of 309406 in exponential form is:

309406 = 21×671×23091

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 309406 and 309408.

LCM(309406,309408) = 25×31×111×671×2931×23091
LCM(309406,309408) = 47866345824

Factors of 309406

List of positive integer factors of 309406 that divides 309406 without a remainder.

1, 2, 67, 134, 2309, 4618, 154703, 309406

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 309406 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 309406 and 309408, than apply into the LCM equation.

GCF(309406,309408) = 2
LCM(309406,309408) = ( 309406 × 309408) / 2
LCM(309406,309408) = 95732691648 / 2
LCM(309406,309408) = 47866345824

Properties of LCM 309406 and 309408

(i) The LCM of 309408 and 309406 is associative

LCM of 309406 and 309408 = LCM of 309408 and 309406

Related Least Common Multiples of 309406

Related Least Common Multiples of 309408

Frequently Asked Questions on LCM of 309406 and 309408

1. What is the LCM of 309406 and 309408?

Answer: LCM of 309406 and 309408 is 47866345824.

2. What are the Factors of 309406?

Answer: Factors of 309406 are 1, 2, 67, 134, 2309, 4618, 154703, 309406. There are 8 integers that are factors of 309406. The greatest factor of 309406 is 309406.

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 309406 and 309408?

Answer:

Least Common Multiple of 309406 and 309408 = 47866345824

Step 1: Find the prime factorization of 309406

309406 = 2 x 67 x 2309

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 = 47866345824 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 67 x 293 x 2309

Step 4: Therefore, the least common multiple of 309406 and 309408 is 47866345824.