Least Common Multiple of 306424 and 306431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306424 and 306431 the smallest integer that is 93897812744 that is divisible by both numbers.

Least Common Multiple (LCM) of 306424 and 306431 is 93897812744.

LCM(306424,306431) = 93897812744

LCM of 306424 and 306431

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

LCM of:
and

Least Common Multiple of 306424 and 306431

LCM of 306424 and 306431 is 93897812744

Least common multiple can be found by multiplying the highest exponent prime factors of 306424 and 306431. First we will calculate the prime factors of 306424 and 306431.

Prime Factorization of 306424


2 306424
2 153212
2 76606
38303 38303
1

Prime factors of 306424 are 2,38303. Prime factorization of 306424 in exponential form is:

306424 = 23×383031

Prime Factorization of 306431


306431 306431
1

Prime factors of 306431 are 306431. Prime factorization of 306431 in exponential form is:

306431 = 3064311

Now multiplying the highest exponent prime factors to calculate the LCM of 306424 and 306431.

LCM(306424,306431) = 23×383031×3064311
LCM(306424,306431) = 93897812744

Factors of 306424

List of positive integer factors of 306424 that divides 306424 without a remainder.

1, 2, 4, 8, 38303, 76606, 153212, 306424

Factors of 306431

List of positive integer factors of 306431 that divides 306431 without a remainder.

1, 306431

Least Common Multiple of 306424 and 306431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306424 and 306431, than apply into the LCM equation.

GCF(306424,306431) = 1
LCM(306424,306431) = ( 306424 × 306431) / 1
LCM(306424,306431) = 93897812744 / 1
LCM(306424,306431) = 93897812744

Properties of LCM 306424 and 306431

(i) The LCM of 306431 and 306424 is associative

LCM of 306424 and 306431 = LCM of 306431 and 306424

Related Least Common Multiples of 306424

Related Least Common Multiples of 306431

Frequently Asked Questions on LCM of 306424 and 306431

1. What is the LCM of 306424 and 306431?

Answer: LCM of 306424 and 306431 is 93897812744.

2. What are the Factors of 306424?

Answer: Factors of 306424 are 1, 2, 4, 8, 38303, 76606, 153212, 306424. There are 8 integers that are factors of 306424. The greatest factor of 306424 is 306424.

3. What are the Factors of 306431?

Answer: Factors of 306431 are 1, 306431. There are 2 integers that are factors of 306431. The greatest factor of 306431 is 306431.

4. How to Find the LCM of 306424 and 306431?

Answer:

Least Common Multiple of 306424 and 306431 = 93897812744

Step 1: Find the prime factorization of 306424

306424 = 2 x 2 x 2 x 38303

Step 2: Find the prime factorization of 306431

306431 = 306431

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

LCM = 93897812744 = 2 x 2 x 2 x 38303 x 306431

Step 4: Therefore, the least common multiple of 306424 and 306431 is 93897812744.