Least Common Multiple of 306423 and 306430

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 306430 the smallest integer that is 93897199890 that is divisible by both numbers.

Least Common Multiple (LCM) of 306423 and 306430 is 93897199890.

LCM(306423,306430) = 93897199890

LCM of 306423 and 306430

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

LCM of:
and

Least Common Multiple of 306423 and 306430

LCM of 306423 and 306430 is 93897199890

Least common multiple can be found by multiplying the highest exponent prime factors of 306423 and 306430. First we will calculate the prime factors of 306423 and 306430.

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 306430


2 306430
5 153215
30643 30643
1

Prime factors of 306430 are 2, 5,30643. Prime factorization of 306430 in exponential form is:

306430 = 21×51×306431

Now multiplying the highest exponent prime factors to calculate the LCM of 306423 and 306430.

LCM(306423,306430) = 21×35×51×131×971×306431
LCM(306423,306430) = 93897199890

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 306430

List of positive integer factors of 306430 that divides 306430 without a remainder.

1, 2, 5, 10, 30643, 61286, 153215, 306430

Least Common Multiple of 306423 and 306430 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 306430, than apply into the LCM equation.

GCF(306423,306430) = 1
LCM(306423,306430) = ( 306423 × 306430) / 1
LCM(306423,306430) = 93897199890 / 1
LCM(306423,306430) = 93897199890

Properties of LCM 306423 and 306430

(i) The LCM of 306430 and 306423 is associative

LCM of 306423 and 306430 = LCM of 306430 and 306423

Related Least Common Multiples of 306423

Related Least Common Multiples of 306430

Frequently Asked Questions on LCM of 306423 and 306430

1. What is the LCM of 306423 and 306430?

Answer: LCM of 306423 and 306430 is 93897199890.

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 306430?

Answer: Factors of 306430 are 1, 2, 5, 10, 30643, 61286, 153215, 306430. There are 8 integers that are factors of 306430. The greatest factor of 306430 is 306430.

4. How to Find the LCM of 306423 and 306430?

Answer:

Least Common Multiple of 306423 and 306430 = 93897199890

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 306430

306430 = 2 x 5 x 30643

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

LCM = 93897199890 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 97 x 30643

Step 4: Therefore, the least common multiple of 306423 and 306430 is 93897199890.