Least Common Multiple of 308412 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 308412 and 308416 the smallest integer that is 23779798848 that is divisible by both numbers.

Least Common Multiple (LCM) of 308412 and 308416 is 23779798848.

LCM(308412,308416) = 23779798848

LCM of 308412 and 308416

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

LCM of:
and

Least Common Multiple of 308412 and 308416

LCM of 308412 and 308416 is 23779798848

Least common multiple can be found by multiplying the highest exponent prime factors of 308412 and 308416. First we will calculate the prime factors of 308412 and 308416.

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

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 308412 and 308416.

LCM(308412,308416) = 26×32×131×611×791×6591
LCM(308412,308416) = 23779798848

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

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 308412 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 308412 and 308416, than apply into the LCM equation.

GCF(308412,308416) = 4
LCM(308412,308416) = ( 308412 × 308416) / 4
LCM(308412,308416) = 95119195392 / 4
LCM(308412,308416) = 23779798848

Properties of LCM 308412 and 308416

(i) The LCM of 308416 and 308412 is associative

LCM of 308412 and 308416 = LCM of 308416 and 308412

Related Least Common Multiples of 308412

Related Least Common Multiples of 308416

Frequently Asked Questions on LCM of 308412 and 308416

1. What is the LCM of 308412 and 308416?

Answer: LCM of 308412 and 308416 is 23779798848.

2. 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.

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 308412 and 308416?

Answer:

Least Common Multiple of 308412 and 308416 = 23779798848

Step 1: Find the prime factorization of 308412

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

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 = 23779798848 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 61 x 79 x 659

Step 4: Therefore, the least common multiple of 308412 and 308416 is 23779798848.