Least Common Multiple of 308408 and 308412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308408 and 308412 the smallest integer that is 23779182024 that is divisible by both numbers.

Least Common Multiple (LCM) of 308408 and 308412 is 23779182024.

LCM(308408,308412) = 23779182024

LCM of 308408 and 308412

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

LCM of:
and

Least Common Multiple of 308408 and 308412

LCM of 308408 and 308412 is 23779182024

Least common multiple can be found by multiplying the highest exponent prime factors of 308408 and 308412. First we will calculate the prime factors of 308408 and 308412.

Prime Factorization of 308408


2 308408
2 154204
2 77102
19 38551
2029 2029
1

Prime factors of 308408 are 2, 19,2029. Prime factorization of 308408 in exponential form is:

308408 = 23×191×20291

Prime Factorization of 308412


2 308412
2 154206
3 77103
3 25701
13 8567
659 659
1

Prime factors of 308412 are 2, 3, 13,659. Prime factorization of 308412 in exponential form is:

308412 = 22×32×131×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 308408 and 308412.

LCM(308408,308412) = 23×32×131×191×6591×20291
LCM(308408,308412) = 23779182024

Factors of 308408

List of positive integer factors of 308408 that divides 308408 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 2029, 4058, 8116, 16232, 38551, 77102, 154204, 308408

Factors of 308412

List of positive integer factors of 308412 that divides 308412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468, 659, 1318, 1977, 2636, 3954, 5931, 7908, 8567, 11862, 17134, 23724, 25701, 34268, 51402, 77103, 102804, 154206, 308412

Least Common Multiple of 308408 and 308412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308408 and 308412, than apply into the LCM equation.

GCF(308408,308412) = 4
LCM(308408,308412) = ( 308408 × 308412) / 4
LCM(308408,308412) = 95116728096 / 4
LCM(308408,308412) = 23779182024

Properties of LCM 308408 and 308412

(i) The LCM of 308412 and 308408 is associative

LCM of 308408 and 308412 = LCM of 308412 and 308408

Related Least Common Multiples of 308408

Related Least Common Multiples of 308412

Frequently Asked Questions on LCM of 308408 and 308412

1. What is the LCM of 308408 and 308412?

Answer: LCM of 308408 and 308412 is 23779182024.

2. What are the Factors of 308408?

Answer: Factors of 308408 are 1, 2, 4, 8, 19, 38, 76, 152, 2029, 4058, 8116, 16232, 38551, 77102, 154204, 308408. There are 16 integers that are factors of 308408. The greatest factor of 308408 is 308408.

3. What are the Factors of 308412?

Answer: Factors of 308412 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468, 659, 1318, 1977, 2636, 3954, 5931, 7908, 8567, 11862, 17134, 23724, 25701, 34268, 51402, 77103, 102804, 154206, 308412. There are 36 integers that are factors of 308412. The greatest factor of 308412 is 308412.

4. How to Find the LCM of 308408 and 308412?

Answer:

Least Common Multiple of 308408 and 308412 = 23779182024

Step 1: Find the prime factorization of 308408

308408 = 2 x 2 x 2 x 19 x 2029

Step 2: Find the prime factorization of 308412

308412 = 2 x 2 x 3 x 3 x 13 x 659

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

LCM = 23779182024 = 2 x 2 x 2 x 3 x 3 x 13 x 19 x 659 x 2029

Step 4: Therefore, the least common multiple of 308408 and 308412 is 23779182024.