Least Common Multiple of 9774 and 9782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9774 and 9782 the smallest integer that is 47804634 that is divisible by both numbers.

Least Common Multiple (LCM) of 9774 and 9782 is 47804634.

LCM(9774,9782) = 47804634

LCM of 9774 and 9782

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

LCM of:
and

Least Common Multiple of 9774 and 9782

LCM of 9774 and 9782 is 47804634

Least common multiple can be found by multiplying the highest exponent prime factors of 9774 and 9782. First we will calculate the prime factors of 9774 and 9782.

Prime Factorization of 9774


2 9774
3 4887
3 1629
3 543
181 181
1

Prime factors of 9774 are 2, 3,181. Prime factorization of 9774 in exponential form is:

9774 = 21×33×1811

Prime Factorization of 9782


2 9782
67 4891
73 73
1

Prime factors of 9782 are 2, 67,73. Prime factorization of 9782 in exponential form is:

9782 = 21×671×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9774 and 9782.

LCM(9774,9782) = 21×33×671×731×1811
LCM(9774,9782) = 47804634

Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1, 2, 67, 73, 134, 146, 4891, 9782

Least Common Multiple of 9774 and 9782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9774 and 9782, than apply into the LCM equation.

GCF(9774,9782) = 2
LCM(9774,9782) = ( 9774 × 9782) / 2
LCM(9774,9782) = 95609268 / 2
LCM(9774,9782) = 47804634

Properties of LCM 9774 and 9782

(i) The LCM of 9782 and 9774 is associative

LCM of 9774 and 9782 = LCM of 9782 and 9774

Related Least Common Multiples of 9774

Related Least Common Multiples of 9782

Frequently Asked Questions on LCM of 9774 and 9782

1. What is the LCM of 9774 and 9782?

Answer: LCM of 9774 and 9782 is 47804634.

2. What are the Factors of 9774?

Answer: Factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774. There are 16 integers that are factors of 9774. The greatest factor of 9774 is 9774.

3. What are the Factors of 9782?

Answer: Factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782. There are 8 integers that are factors of 9782. The greatest factor of 9782 is 9782.

4. How to Find the LCM of 9774 and 9782?

Answer:

Least Common Multiple of 9774 and 9782 = 47804634

Step 1: Find the prime factorization of 9774

9774 = 2 x 3 x 3 x 3 x 181

Step 2: Find the prime factorization of 9782

9782 = 2 x 67 x 73

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

LCM = 47804634 = 2 x 3 x 3 x 3 x 67 x 73 x 181

Step 4: Therefore, the least common multiple of 9774 and 9782 is 47804634.