Least Common Multiple of 9427 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 9427 and 9432 the smallest integer that is 88915464 that is divisible by both numbers.

Least Common Multiple (LCM) of 9427 and 9432 is 88915464.

LCM(9427,9432) = 88915464

LCM of 9427 and 9432

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

LCM of:
and

Least Common Multiple of 9427 and 9432

LCM of 9427 and 9432 is 88915464

Least common multiple can be found by multiplying the highest exponent prime factors of 9427 and 9432. First we will calculate the prime factors of 9427 and 9432.

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

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 9427 and 9432.

LCM(9427,9432) = 23×32×111×1311×8571
LCM(9427,9432) = 88915464

Factors of 9427

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

1, 11, 857, 9427

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 9427 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 9427 and 9432, than apply into the LCM equation.

GCF(9427,9432) = 1
LCM(9427,9432) = ( 9427 × 9432) / 1
LCM(9427,9432) = 88915464 / 1
LCM(9427,9432) = 88915464

Properties of LCM 9427 and 9432

(i) The LCM of 9432 and 9427 is associative

LCM of 9427 and 9432 = LCM of 9432 and 9427

Related Least Common Multiples of 9427

Related Least Common Multiples of 9432

Frequently Asked Questions on LCM of 9427 and 9432

1. What is the LCM of 9427 and 9432?

Answer: LCM of 9427 and 9432 is 88915464.

2. 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.

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 9427 and 9432?

Answer:

Least Common Multiple of 9427 and 9432 = 88915464

Step 1: Find the prime factorization of 9427

9427 = 11 x 857

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 = 88915464 = 2 x 2 x 2 x 3 x 3 x 11 x 131 x 857

Step 4: Therefore, the least common multiple of 9427 and 9432 is 88915464.