Least Common Multiple of 308408 and 308416

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 308416 the smallest integer that is 11889745216 that is divisible by both numbers.

Least Common Multiple (LCM) of 308408 and 308416 is 11889745216.

LCM(308408,308416) = 11889745216

LCM of 308408 and 308416

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

LCM of:
and

Least Common Multiple of 308408 and 308416

LCM of 308408 and 308416 is 11889745216

Least common multiple can be found by multiplying the highest exponent prime factors of 308408 and 308416. First we will calculate the prime factors of 308408 and 308416.

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 308416


2 308416
2 154208
2 77104
2 38552
2 19276
2 9638
61 4819
79 79
1

Prime factors of 308416 are 2, 61,79. Prime factorization of 308416 in exponential form is:

308416 = 26×611×791

Now multiplying the highest exponent prime factors to calculate the LCM of 308408 and 308416.

LCM(308408,308416) = 26×191×611×791×20291
LCM(308408,308416) = 11889745216

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 308416

List of positive integer factors of 308416 that divides 308416 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 79, 122, 158, 244, 316, 488, 632, 976, 1264, 1952, 2528, 3904, 4819, 5056, 9638, 19276, 38552, 77104, 154208, 308416

Least Common Multiple of 308408 and 308416 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 308416, than apply into the LCM equation.

GCF(308408,308416) = 8
LCM(308408,308416) = ( 308408 × 308416) / 8
LCM(308408,308416) = 95117961728 / 8
LCM(308408,308416) = 11889745216

Properties of LCM 308408 and 308416

(i) The LCM of 308416 and 308408 is associative

LCM of 308408 and 308416 = LCM of 308416 and 308408

Related Least Common Multiples of 308408

Related Least Common Multiples of 308416

Frequently Asked Questions on LCM of 308408 and 308416

1. What is the LCM of 308408 and 308416?

Answer: LCM of 308408 and 308416 is 11889745216.

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 308416?

Answer: Factors of 308416 are 1, 2, 4, 8, 16, 32, 61, 64, 79, 122, 158, 244, 316, 488, 632, 976, 1264, 1952, 2528, 3904, 4819, 5056, 9638, 19276, 38552, 77104, 154208, 308416. There are 28 integers that are factors of 308416. The greatest factor of 308416 is 308416.

4. How to Find the LCM of 308408 and 308416?

Answer:

Least Common Multiple of 308408 and 308416 = 11889745216

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 308416

308416 = 2 x 2 x 2 x 2 x 2 x 2 x 61 x 79

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

LCM = 11889745216 = 2 x 2 x 2 x 2 x 2 x 2 x 19 x 61 x 79 x 2029

Step 4: Therefore, the least common multiple of 308408 and 308416 is 11889745216.