Least Common Multiple of 9426 and 9434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9426 and 9434 the smallest integer that is 44462442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9426 and 9434 is 44462442.

LCM(9426,9434) = 44462442

LCM of 9426 and 9434

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

LCM of:
and

Least Common Multiple of 9426 and 9434

LCM of 9426 and 9434 is 44462442

Least common multiple can be found by multiplying the highest exponent prime factors of 9426 and 9434. First we will calculate the prime factors of 9426 and 9434.

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

Prime Factorization of 9434


2 9434
53 4717
89 89
1

Prime factors of 9434 are 2, 53,89. Prime factorization of 9434 in exponential form is:

9434 = 21×531×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9426 and 9434.

LCM(9426,9434) = 21×31×531×891×15711
LCM(9426,9434) = 44462442

Factors of 9426

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

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

Factors of 9434

List of positive integer factors of 9434 that divides 9434 without a remainder.

1, 2, 53, 89, 106, 178, 4717, 9434

Least Common Multiple of 9426 and 9434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9426 and 9434, than apply into the LCM equation.

GCF(9426,9434) = 2
LCM(9426,9434) = ( 9426 × 9434) / 2
LCM(9426,9434) = 88924884 / 2
LCM(9426,9434) = 44462442

Properties of LCM 9426 and 9434

(i) The LCM of 9434 and 9426 is associative

LCM of 9426 and 9434 = LCM of 9434 and 9426

Related Least Common Multiples of 9426

Related Least Common Multiples of 9434

Frequently Asked Questions on LCM of 9426 and 9434

1. What is the LCM of 9426 and 9434?

Answer: LCM of 9426 and 9434 is 44462442.

2. 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.

3. What are the Factors of 9434?

Answer: Factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434. There are 8 integers that are factors of 9434. The greatest factor of 9434 is 9434.

4. How to Find the LCM of 9426 and 9434?

Answer:

Least Common Multiple of 9426 and 9434 = 44462442

Step 1: Find the prime factorization of 9426

9426 = 2 x 3 x 1571

Step 2: Find the prime factorization of 9434

9434 = 2 x 53 x 89

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

LCM = 44462442 = 2 x 3 x 53 x 89 x 1571

Step 4: Therefore, the least common multiple of 9426 and 9434 is 44462442.