Least Common Multiple of 9626 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 9626 and 9632 the smallest integer that is 46358816 that is divisible by both numbers.

Least Common Multiple (LCM) of 9626 and 9632 is 46358816.

LCM(9626,9632) = 46358816

LCM of 9626 and 9632

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

LCM of:
and

Least Common Multiple of 9626 and 9632

LCM of 9626 and 9632 is 46358816

Least common multiple can be found by multiplying the highest exponent prime factors of 9626 and 9632. First we will calculate the prime factors of 9626 and 9632.

Prime Factorization of 9626


2 9626
4813 4813
1

Prime factors of 9626 are 2,4813. Prime factorization of 9626 in exponential form is:

9626 = 21×48131

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 9626 and 9632.

LCM(9626,9632) = 25×71×431×48131
LCM(9626,9632) = 46358816

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1, 2, 4813, 9626

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 9626 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 9626 and 9632, than apply into the LCM equation.

GCF(9626,9632) = 2
LCM(9626,9632) = ( 9626 × 9632) / 2
LCM(9626,9632) = 92717632 / 2
LCM(9626,9632) = 46358816

Properties of LCM 9626 and 9632

(i) The LCM of 9632 and 9626 is associative

LCM of 9626 and 9632 = LCM of 9632 and 9626

Related Least Common Multiples of 9626

Related Least Common Multiples of 9632

Frequently Asked Questions on LCM of 9626 and 9632

1. What is the LCM of 9626 and 9632?

Answer: LCM of 9626 and 9632 is 46358816.

2. What are the Factors of 9626?

Answer: Factors of 9626 are 1, 2, 4813, 9626. There are 4 integers that are factors of 9626. The greatest factor of 9626 is 9626.

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 9626 and 9632?

Answer:

Least Common Multiple of 9626 and 9632 = 46358816

Step 1: Find the prime factorization of 9626

9626 = 2 x 4813

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 = 46358816 = 2 x 2 x 2 x 2 x 2 x 7 x 43 x 4813

Step 4: Therefore, the least common multiple of 9626 and 9632 is 46358816.