Least Common Multiple of 9627 and 9632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9627 and 9632 the smallest integer that is 92727264 that is divisible by both numbers.

Least Common Multiple (LCM) of 9627 and 9632 is 92727264.

LCM(9627,9632) = 92727264

LCM of 9627 and 9632

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

LCM of:
and

Least Common Multiple of 9627 and 9632

LCM of 9627 and 9632 is 92727264

Least common multiple can be found by multiplying the highest exponent prime factors of 9627 and 9632. First we will calculate the prime factors of 9627 and 9632.

Prime Factorization of 9627


3 9627
3209 3209
1

Prime factors of 9627 are 3,3209. Prime factorization of 9627 in exponential form is:

9627 = 31×32091

Prime Factorization of 9632


2 9632
2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 9632 are 2, 7,43. Prime factorization of 9632 in exponential form is:

9632 = 25×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9627 and 9632.

LCM(9627,9632) = 25×31×71×431×32091
LCM(9627,9632) = 92727264

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1, 3, 3209, 9627

Factors of 9632

List of positive integer factors of 9632 that divides 9632 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632

Least Common Multiple of 9627 and 9632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9627 and 9632, than apply into the LCM equation.

GCF(9627,9632) = 1
LCM(9627,9632) = ( 9627 × 9632) / 1
LCM(9627,9632) = 92727264 / 1
LCM(9627,9632) = 92727264

Properties of LCM 9627 and 9632

(i) The LCM of 9632 and 9627 is associative

LCM of 9627 and 9632 = LCM of 9632 and 9627

Related Least Common Multiples of 9627

Related Least Common Multiples of 9632

Frequently Asked Questions on LCM of 9627 and 9632

1. What is the LCM of 9627 and 9632?

Answer: LCM of 9627 and 9632 is 92727264.

2. What are the Factors of 9627?

Answer: Factors of 9627 are 1, 3, 3209, 9627. There are 4 integers that are factors of 9627. The greatest factor of 9627 is 9627.

3. What are the Factors of 9632?

Answer: Factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632. There are 24 integers that are factors of 9632. The greatest factor of 9632 is 9632.

4. How to Find the LCM of 9627 and 9632?

Answer:

Least Common Multiple of 9627 and 9632 = 92727264

Step 1: Find the prime factorization of 9627

9627 = 3 x 3209

Step 2: Find the prime factorization of 9632

9632 = 2 x 2 x 2 x 2 x 2 x 7 x 43

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

LCM = 92727264 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 43 x 3209

Step 4: Therefore, the least common multiple of 9627 and 9632 is 92727264.