Least Common Multiple of 9426 and 9432

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 9432 the smallest integer that is 14817672 that is divisible by both numbers.

Least Common Multiple (LCM) of 9426 and 9432 is 14817672.

LCM(9426,9432) = 14817672

LCM of 9426 and 9432

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

LCM of:
and

Least Common Multiple of 9426 and 9432

LCM of 9426 and 9432 is 14817672

Least common multiple can be found by multiplying the highest exponent prime factors of 9426 and 9432. First we will calculate the prime factors of 9426 and 9432.

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 9432


2 9432
2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 9432 are 2, 3,131. Prime factorization of 9432 in exponential form is:

9432 = 23×32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9426 and 9432.

LCM(9426,9432) = 23×32×1311×15711
LCM(9426,9432) = 14817672

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 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432

Least Common Multiple of 9426 and 9432 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 9432, than apply into the LCM equation.

GCF(9426,9432) = 6
LCM(9426,9432) = ( 9426 × 9432) / 6
LCM(9426,9432) = 88906032 / 6
LCM(9426,9432) = 14817672

Properties of LCM 9426 and 9432

(i) The LCM of 9432 and 9426 is associative

LCM of 9426 and 9432 = LCM of 9432 and 9426

Related Least Common Multiples of 9426

Related Least Common Multiples of 9432

Frequently Asked Questions on LCM of 9426 and 9432

1. What is the LCM of 9426 and 9432?

Answer: LCM of 9426 and 9432 is 14817672.

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 9432?

Answer: Factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432. There are 24 integers that are factors of 9432. The greatest factor of 9432 is 9432.

4. How to Find the LCM of 9426 and 9432?

Answer:

Least Common Multiple of 9426 and 9432 = 14817672

Step 1: Find the prime factorization of 9426

9426 = 2 x 3 x 1571

Step 2: Find the prime factorization of 9432

9432 = 2 x 2 x 2 x 3 x 3 x 131

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

LCM = 14817672 = 2 x 2 x 2 x 3 x 3 x 131 x 1571

Step 4: Therefore, the least common multiple of 9426 and 9432 is 14817672.