Least Common Multiple of 306423 and 306428

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 306428 the smallest integer that is 93896587044 that is divisible by both numbers.

Least Common Multiple (LCM) of 306423 and 306428 is 93896587044.

LCM(306423,306428) = 93896587044

LCM of 306423 and 306428

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

LCM of:
and

Least Common Multiple of 306423 and 306428

LCM of 306423 and 306428 is 93896587044

Least common multiple can be found by multiplying the highest exponent prime factors of 306423 and 306428. First we will calculate the prime factors of 306423 and 306428.

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 306428


2 306428
2 153214
76607 76607
1

Prime factors of 306428 are 2,76607. Prime factorization of 306428 in exponential form is:

306428 = 22×766071

Now multiplying the highest exponent prime factors to calculate the LCM of 306423 and 306428.

LCM(306423,306428) = 22×35×131×971×766071
LCM(306423,306428) = 93896587044

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 306428

List of positive integer factors of 306428 that divides 306428 without a remainder.

1, 2, 4, 76607, 153214, 306428

Least Common Multiple of 306423 and 306428 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 306428, than apply into the LCM equation.

GCF(306423,306428) = 1
LCM(306423,306428) = ( 306423 × 306428) / 1
LCM(306423,306428) = 93896587044 / 1
LCM(306423,306428) = 93896587044

Properties of LCM 306423 and 306428

(i) The LCM of 306428 and 306423 is associative

LCM of 306423 and 306428 = LCM of 306428 and 306423

Related Least Common Multiples of 306423

Related Least Common Multiples of 306428

Frequently Asked Questions on LCM of 306423 and 306428

1. What is the LCM of 306423 and 306428?

Answer: LCM of 306423 and 306428 is 93896587044.

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 306428?

Answer: Factors of 306428 are 1, 2, 4, 76607, 153214, 306428. There are 6 integers that are factors of 306428. The greatest factor of 306428 is 306428.

4. How to Find the LCM of 306423 and 306428?

Answer:

Least Common Multiple of 306423 and 306428 = 93896587044

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 306428

306428 = 2 x 2 x 76607

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

LCM = 93896587044 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 13 x 97 x 76607

Step 4: Therefore, the least common multiple of 306423 and 306428 is 93896587044.