Least Common Multiple of 9648 and 9649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9648 and 9649 the smallest integer that is 93093552 that is divisible by both numbers.

Least Common Multiple (LCM) of 9648 and 9649 is 93093552.

LCM(9648,9649) = 93093552

LCM of 9648 and 9649

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

LCM of:
and

Least Common Multiple of 9648 and 9649

LCM of 9648 and 9649 is 93093552

Least common multiple can be found by multiplying the highest exponent prime factors of 9648 and 9649. First we will calculate the prime factors of 9648 and 9649.

Prime Factorization of 9648


2 9648
2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 9648 are 2, 3,67. Prime factorization of 9648 in exponential form is:

9648 = 24×32×671

Prime Factorization of 9649


9649 9649
1

Prime factors of 9649 are 9649. Prime factorization of 9649 in exponential form is:

9649 = 96491

Now multiplying the highest exponent prime factors to calculate the LCM of 9648 and 9649.

LCM(9648,9649) = 24×32×671×96491
LCM(9648,9649) = 93093552

Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1, 9649

Least Common Multiple of 9648 and 9649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9648 and 9649, than apply into the LCM equation.

GCF(9648,9649) = 1
LCM(9648,9649) = ( 9648 × 9649) / 1
LCM(9648,9649) = 93093552 / 1
LCM(9648,9649) = 93093552

Properties of LCM 9648 and 9649

(i) The LCM of 9649 and 9648 is associative

LCM of 9648 and 9649 = LCM of 9649 and 9648

Related Least Common Multiples of 9648

Related Least Common Multiples of 9649

Frequently Asked Questions on LCM of 9648 and 9649

1. What is the LCM of 9648 and 9649?

Answer: LCM of 9648 and 9649 is 93093552.

2. What are the Factors of 9648?

Answer: Factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648. There are 30 integers that are factors of 9648. The greatest factor of 9648 is 9648.

3. What are the Factors of 9649?

Answer: Factors of 9649 are 1, 9649. There are 2 integers that are factors of 9649. The greatest factor of 9649 is 9649.

4. How to Find the LCM of 9648 and 9649?

Answer:

Least Common Multiple of 9648 and 9649 = 93093552

Step 1: Find the prime factorization of 9648

9648 = 2 x 2 x 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 9649

9649 = 9649

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

LCM = 93093552 = 2 x 2 x 2 x 2 x 3 x 3 x 67 x 9649

Step 4: Therefore, the least common multiple of 9648 and 9649 is 93093552.