Least Common Multiple of 9421 and 9427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9421 and 9427 the smallest integer that is 88811767 that is divisible by both numbers.

Least Common Multiple (LCM) of 9421 and 9427 is 88811767.

LCM(9421,9427) = 88811767

LCM of 9421 and 9427

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

LCM of:
and

Least Common Multiple of 9421 and 9427

LCM of 9421 and 9427 is 88811767

Least common multiple can be found by multiplying the highest exponent prime factors of 9421 and 9427. First we will calculate the prime factors of 9421 and 9427.

Prime Factorization of 9421


9421 9421
1

Prime factors of 9421 are 9421. Prime factorization of 9421 in exponential form is:

9421 = 94211

Prime Factorization of 9427


11 9427
857 857
1

Prime factors of 9427 are 11,857. Prime factorization of 9427 in exponential form is:

9427 = 111×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 9421 and 9427.

LCM(9421,9427) = 111×8571×94211
LCM(9421,9427) = 88811767

Factors of 9421

List of positive integer factors of 9421 that divides 9421 without a remainder.

1, 9421

Factors of 9427

List of positive integer factors of 9427 that divides 9427 without a remainder.

1, 11, 857, 9427

Least Common Multiple of 9421 and 9427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9421 and 9427, than apply into the LCM equation.

GCF(9421,9427) = 1
LCM(9421,9427) = ( 9421 × 9427) / 1
LCM(9421,9427) = 88811767 / 1
LCM(9421,9427) = 88811767

Properties of LCM 9421 and 9427

(i) The LCM of 9427 and 9421 is associative

LCM of 9421 and 9427 = LCM of 9427 and 9421

Frequently Asked Questions on LCM of 9421 and 9427

1. What is the LCM of 9421 and 9427?

Answer: LCM of 9421 and 9427 is 88811767.

2. What are the Factors of 9421?

Answer: Factors of 9421 are 1, 9421. There are 2 integers that are factors of 9421. The greatest factor of 9421 is 9421.

3. What are the Factors of 9427?

Answer: Factors of 9427 are 1, 11, 857, 9427. There are 4 integers that are factors of 9427. The greatest factor of 9427 is 9427.

4. How to Find the LCM of 9421 and 9427?

Answer:

Least Common Multiple of 9421 and 9427 = 88811767

Step 1: Find the prime factorization of 9421

9421 = 9421

Step 2: Find the prime factorization of 9427

9427 = 11 x 857

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

LCM = 88811767 = 11 x 857 x 9421

Step 4: Therefore, the least common multiple of 9421 and 9427 is 88811767.