Least Common Multiple of 9642 and 9648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9642 and 9648 the smallest integer that is 15504336 that is divisible by both numbers.

Least Common Multiple (LCM) of 9642 and 9648 is 15504336.

LCM(9642,9648) = 15504336

LCM of 9642 and 9648

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

LCM of:
and

Least Common Multiple of 9642 and 9648

LCM of 9642 and 9648 is 15504336

Least common multiple can be found by multiplying the highest exponent prime factors of 9642 and 9648. First we will calculate the prime factors of 9642 and 9648.

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2, 3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9642 and 9648.

LCM(9642,9648) = 24×32×671×16071
LCM(9642,9648) = 15504336

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1, 2, 3, 6, 1607, 3214, 4821, 9642

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

Least Common Multiple of 9642 and 9648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9642 and 9648, than apply into the LCM equation.

GCF(9642,9648) = 6
LCM(9642,9648) = ( 9642 × 9648) / 6
LCM(9642,9648) = 93026016 / 6
LCM(9642,9648) = 15504336

Properties of LCM 9642 and 9648

(i) The LCM of 9648 and 9642 is associative

LCM of 9642 and 9648 = LCM of 9648 and 9642

Related Least Common Multiples of 9642

Related Least Common Multiples of 9648

Frequently Asked Questions on LCM of 9642 and 9648

1. What is the LCM of 9642 and 9648?

Answer: LCM of 9642 and 9648 is 15504336.

2. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

3. 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.

4. How to Find the LCM of 9642 and 9648?

Answer:

Least Common Multiple of 9642 and 9648 = 15504336

Step 1: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

Step 2: Find the prime factorization of 9648

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

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

LCM = 15504336 = 2 x 2 x 2 x 2 x 3 x 3 x 67 x 1607

Step 4: Therefore, the least common multiple of 9642 and 9648 is 15504336.