Least Common Multiple of 308421 and 308428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308421 and 308428 the smallest integer that is 95125672188 that is divisible by both numbers.

Least Common Multiple (LCM) of 308421 and 308428 is 95125672188.

LCM(308421,308428) = 95125672188

LCM of 308421 and 308428

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

LCM of:
and

Least Common Multiple of 308421 and 308428

LCM of 308421 and 308428 is 95125672188

Least common multiple can be found by multiplying the highest exponent prime factors of 308421 and 308428. First we will calculate the prime factors of 308421 and 308428.

Prime Factorization of 308421


3 308421
3 102807
3 34269
11423 11423
1

Prime factors of 308421 are 3,11423. Prime factorization of 308421 in exponential form is:

308421 = 33×114231

Prime Factorization of 308428


2 308428
2 154214
83 77107
929 929
1

Prime factors of 308428 are 2, 83,929. Prime factorization of 308428 in exponential form is:

308428 = 22×831×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 308421 and 308428.

LCM(308421,308428) = 22×33×831×9291×114231
LCM(308421,308428) = 95125672188

Factors of 308421

List of positive integer factors of 308421 that divides 308421 without a remainder.

1, 3, 9, 27, 11423, 34269, 102807, 308421

Factors of 308428

List of positive integer factors of 308428 that divides 308428 without a remainder.

1, 2, 4, 83, 166, 332, 929, 1858, 3716, 77107, 154214, 308428

Least Common Multiple of 308421 and 308428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308421 and 308428, than apply into the LCM equation.

GCF(308421,308428) = 1
LCM(308421,308428) = ( 308421 × 308428) / 1
LCM(308421,308428) = 95125672188 / 1
LCM(308421,308428) = 95125672188

Properties of LCM 308421 and 308428

(i) The LCM of 308428 and 308421 is associative

LCM of 308421 and 308428 = LCM of 308428 and 308421

Related Least Common Multiples of 308421

Related Least Common Multiples of 308428

Frequently Asked Questions on LCM of 308421 and 308428

1. What is the LCM of 308421 and 308428?

Answer: LCM of 308421 and 308428 is 95125672188.

2. What are the Factors of 308421?

Answer: Factors of 308421 are 1, 3, 9, 27, 11423, 34269, 102807, 308421. There are 8 integers that are factors of 308421. The greatest factor of 308421 is 308421.

3. What are the Factors of 308428?

Answer: Factors of 308428 are 1, 2, 4, 83, 166, 332, 929, 1858, 3716, 77107, 154214, 308428. There are 12 integers that are factors of 308428. The greatest factor of 308428 is 308428.

4. How to Find the LCM of 308421 and 308428?

Answer:

Least Common Multiple of 308421 and 308428 = 95125672188

Step 1: Find the prime factorization of 308421

308421 = 3 x 3 x 3 x 11423

Step 2: Find the prime factorization of 308428

308428 = 2 x 2 x 83 x 929

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

LCM = 95125672188 = 2 x 2 x 3 x 3 x 3 x 83 x 929 x 11423

Step 4: Therefore, the least common multiple of 308421 and 308428 is 95125672188.