Least Common Multiple of 306423 and 306427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306423 and 306427 the smallest integer that is 93896280621 that is divisible by both numbers.

Least Common Multiple (LCM) of 306423 and 306427 is 93896280621.

LCM(306423,306427) = 93896280621

LCM of 306423 and 306427

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

LCM of:
and

Least Common Multiple of 306423 and 306427

LCM of 306423 and 306427 is 93896280621

Least common multiple can be found by multiplying the highest exponent prime factors of 306423 and 306427. First we will calculate the prime factors of 306423 and 306427.

Prime Factorization of 306423


3 306423
3 102141
3 34047
3 11349
3 3783
13 1261
97 97
1

Prime factors of 306423 are 3, 13,97. Prime factorization of 306423 in exponential form is:

306423 = 35×131×971

Prime Factorization of 306427


11 306427
89 27857
313 313
1

Prime factors of 306427 are 11, 89,313. Prime factorization of 306427 in exponential form is:

306427 = 111×891×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 306423 and 306427.

LCM(306423,306427) = 35×111×131×891×971×3131
LCM(306423,306427) = 93896280621

Factors of 306423

List of positive integer factors of 306423 that divides 306423 without a remainder.

1, 3, 9, 13, 27, 39, 81, 97, 117, 243, 291, 351, 873, 1053, 1261, 2619, 3159, 3783, 7857, 11349, 23571, 34047, 102141, 306423

Factors of 306427

List of positive integer factors of 306427 that divides 306427 without a remainder.

1, 11, 89, 313, 979, 3443, 27857, 306427

Least Common Multiple of 306423 and 306427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306423 and 306427, than apply into the LCM equation.

GCF(306423,306427) = 1
LCM(306423,306427) = ( 306423 × 306427) / 1
LCM(306423,306427) = 93896280621 / 1
LCM(306423,306427) = 93896280621

Properties of LCM 306423 and 306427

(i) The LCM of 306427 and 306423 is associative

LCM of 306423 and 306427 = LCM of 306427 and 306423

Related Least Common Multiples of 306423

Related Least Common Multiples of 306427

Frequently Asked Questions on LCM of 306423 and 306427

1. What is the LCM of 306423 and 306427?

Answer: LCM of 306423 and 306427 is 93896280621.

2. What are the Factors of 306423?

Answer: Factors of 306423 are 1, 3, 9, 13, 27, 39, 81, 97, 117, 243, 291, 351, 873, 1053, 1261, 2619, 3159, 3783, 7857, 11349, 23571, 34047, 102141, 306423. There are 24 integers that are factors of 306423. The greatest factor of 306423 is 306423.

3. What are the Factors of 306427?

Answer: Factors of 306427 are 1, 11, 89, 313, 979, 3443, 27857, 306427. There are 8 integers that are factors of 306427. The greatest factor of 306427 is 306427.

4. How to Find the LCM of 306423 and 306427?

Answer:

Least Common Multiple of 306423 and 306427 = 93896280621

Step 1: Find the prime factorization of 306423

306423 = 3 x 3 x 3 x 3 x 3 x 13 x 97

Step 2: Find the prime factorization of 306427

306427 = 11 x 89 x 313

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

LCM = 93896280621 = 3 x 3 x 3 x 3 x 3 x 11 x 13 x 89 x 97 x 313

Step 4: Therefore, the least common multiple of 306423 and 306427 is 93896280621.