Least Common Multiple of 9421 and 9426

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 9426 the smallest integer that is 88802346 that is divisible by both numbers.

Least Common Multiple (LCM) of 9421 and 9426 is 88802346.

LCM(9421,9426) = 88802346

LCM of 9421 and 9426

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

LCM of:
and

Least Common Multiple of 9421 and 9426

LCM of 9421 and 9426 is 88802346

Least common multiple can be found by multiplying the highest exponent prime factors of 9421 and 9426. First we will calculate the prime factors of 9421 and 9426.

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 9426


2 9426
3 4713
1571 1571
1

Prime factors of 9426 are 2, 3,1571. Prime factorization of 9426 in exponential form is:

9426 = 21×31×15711

Now multiplying the highest exponent prime factors to calculate the LCM of 9421 and 9426.

LCM(9421,9426) = 21×31×15711×94211
LCM(9421,9426) = 88802346

Factors of 9421

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

1, 9421

Factors of 9426

List of positive integer factors of 9426 that divides 9426 without a remainder.

1, 2, 3, 6, 1571, 3142, 4713, 9426

Least Common Multiple of 9421 and 9426 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 9426, than apply into the LCM equation.

GCF(9421,9426) = 1
LCM(9421,9426) = ( 9421 × 9426) / 1
LCM(9421,9426) = 88802346 / 1
LCM(9421,9426) = 88802346

Properties of LCM 9421 and 9426

(i) The LCM of 9426 and 9421 is associative

LCM of 9421 and 9426 = LCM of 9426 and 9421

Frequently Asked Questions on LCM of 9421 and 9426

1. What is the LCM of 9421 and 9426?

Answer: LCM of 9421 and 9426 is 88802346.

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 9426?

Answer: Factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426. There are 8 integers that are factors of 9426. The greatest factor of 9426 is 9426.

4. How to Find the LCM of 9421 and 9426?

Answer:

Least Common Multiple of 9421 and 9426 = 88802346

Step 1: Find the prime factorization of 9421

9421 = 9421

Step 2: Find the prime factorization of 9426

9426 = 2 x 3 x 1571

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

LCM = 88802346 = 2 x 3 x 1571 x 9421

Step 4: Therefore, the least common multiple of 9421 and 9426 is 88802346.