Least Common Multiple of 309421 and 309427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309421 and 309427 the smallest integer that is 95743211767 that is divisible by both numbers.

Least Common Multiple (LCM) of 309421 and 309427 is 95743211767.

LCM(309421,309427) = 95743211767

LCM of 309421 and 309427

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

LCM of:
and

Least Common Multiple of 309421 and 309427

LCM of 309421 and 309427 is 95743211767

Least common multiple can be found by multiplying the highest exponent prime factors of 309421 and 309427. First we will calculate the prime factors of 309421 and 309427.

Prime Factorization of 309421


7 309421
44203 44203
1

Prime factors of 309421 are 7,44203. Prime factorization of 309421 in exponential form is:

309421 = 71×442031

Prime Factorization of 309427


41 309427
7547 7547
1

Prime factors of 309427 are 41,7547. Prime factorization of 309427 in exponential form is:

309427 = 411×75471

Now multiplying the highest exponent prime factors to calculate the LCM of 309421 and 309427.

LCM(309421,309427) = 71×411×75471×442031
LCM(309421,309427) = 95743211767

Factors of 309421

List of positive integer factors of 309421 that divides 309421 without a remainder.

1, 7, 44203, 309421

Factors of 309427

List of positive integer factors of 309427 that divides 309427 without a remainder.

1, 41, 7547, 309427

Least Common Multiple of 309421 and 309427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309421 and 309427, than apply into the LCM equation.

GCF(309421,309427) = 1
LCM(309421,309427) = ( 309421 × 309427) / 1
LCM(309421,309427) = 95743211767 / 1
LCM(309421,309427) = 95743211767

Properties of LCM 309421 and 309427

(i) The LCM of 309427 and 309421 is associative

LCM of 309421 and 309427 = LCM of 309427 and 309421

Related Least Common Multiples of 309421

Related Least Common Multiples of 309427

Frequently Asked Questions on LCM of 309421 and 309427

1. What is the LCM of 309421 and 309427?

Answer: LCM of 309421 and 309427 is 95743211767.

2. What are the Factors of 309421?

Answer: Factors of 309421 are 1, 7, 44203, 309421. There are 4 integers that are factors of 309421. The greatest factor of 309421 is 309421.

3. What are the Factors of 309427?

Answer: Factors of 309427 are 1, 41, 7547, 309427. There are 4 integers that are factors of 309427. The greatest factor of 309427 is 309427.

4. How to Find the LCM of 309421 and 309427?

Answer:

Least Common Multiple of 309421 and 309427 = 95743211767

Step 1: Find the prime factorization of 309421

309421 = 7 x 44203

Step 2: Find the prime factorization of 309427

309427 = 41 x 7547

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

LCM = 95743211767 = 7 x 41 x 7547 x 44203

Step 4: Therefore, the least common multiple of 309421 and 309427 is 95743211767.