Least Common Multiple of 308421 and 308426

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 308426 the smallest integer that is 95125055346 that is divisible by both numbers.

Least Common Multiple (LCM) of 308421 and 308426 is 95125055346.

LCM(308421,308426) = 95125055346

LCM of 308421 and 308426

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

LCM of:
and

Least Common Multiple of 308421 and 308426

LCM of 308421 and 308426 is 95125055346

Least common multiple can be found by multiplying the highest exponent prime factors of 308421 and 308426. First we will calculate the prime factors of 308421 and 308426.

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 308426


2 308426
154213 154213
1

Prime factors of 308426 are 2,154213. Prime factorization of 308426 in exponential form is:

308426 = 21×1542131

Now multiplying the highest exponent prime factors to calculate the LCM of 308421 and 308426.

LCM(308421,308426) = 21×33×114231×1542131
LCM(308421,308426) = 95125055346

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 308426

List of positive integer factors of 308426 that divides 308426 without a remainder.

1, 2, 154213, 308426

Least Common Multiple of 308421 and 308426 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 308426, than apply into the LCM equation.

GCF(308421,308426) = 1
LCM(308421,308426) = ( 308421 × 308426) / 1
LCM(308421,308426) = 95125055346 / 1
LCM(308421,308426) = 95125055346

Properties of LCM 308421 and 308426

(i) The LCM of 308426 and 308421 is associative

LCM of 308421 and 308426 = LCM of 308426 and 308421

Frequently Asked Questions on LCM of 308421 and 308426

1. What is the LCM of 308421 and 308426?

Answer: LCM of 308421 and 308426 is 95125055346.

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 308426?

Answer: Factors of 308426 are 1, 2, 154213, 308426. There are 4 integers that are factors of 308426. The greatest factor of 308426 is 308426.

4. How to Find the LCM of 308421 and 308426?

Answer:

Least Common Multiple of 308421 and 308426 = 95125055346

Step 1: Find the prime factorization of 308421

308421 = 3 x 3 x 3 x 11423

Step 2: Find the prime factorization of 308426

308426 = 2 x 154213

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

LCM = 95125055346 = 2 x 3 x 3 x 3 x 11423 x 154213

Step 4: Therefore, the least common multiple of 308421 and 308426 is 95125055346.