Least Common Multiple of 9774 and 9781

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 9781 the smallest integer that is 95599494 that is divisible by both numbers.

Least Common Multiple (LCM) of 9774 and 9781 is 95599494.

LCM(9774,9781) = 95599494

LCM of 9774 and 9781

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

LCM of:
and

Least Common Multiple of 9774 and 9781

LCM of 9774 and 9781 is 95599494

Least common multiple can be found by multiplying the highest exponent prime factors of 9774 and 9781. First we will calculate the prime factors of 9774 and 9781.

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 9781


9781 9781
1

Prime factors of 9781 are 9781. Prime factorization of 9781 in exponential form is:

9781 = 97811

Now multiplying the highest exponent prime factors to calculate the LCM of 9774 and 9781.

LCM(9774,9781) = 21×33×1811×97811
LCM(9774,9781) = 95599494

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 9781

List of positive integer factors of 9781 that divides 9781 without a remainder.

1, 9781

Least Common Multiple of 9774 and 9781 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 9781, than apply into the LCM equation.

GCF(9774,9781) = 1
LCM(9774,9781) = ( 9774 × 9781) / 1
LCM(9774,9781) = 95599494 / 1
LCM(9774,9781) = 95599494

Properties of LCM 9774 and 9781

(i) The LCM of 9781 and 9774 is associative

LCM of 9774 and 9781 = LCM of 9781 and 9774

Related Least Common Multiples of 9774

Related Least Common Multiples of 9781

Frequently Asked Questions on LCM of 9774 and 9781

1. What is the LCM of 9774 and 9781?

Answer: LCM of 9774 and 9781 is 95599494.

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 9781?

Answer: Factors of 9781 are 1, 9781. There are 2 integers that are factors of 9781. The greatest factor of 9781 is 9781.

4. How to Find the LCM of 9774 and 9781?

Answer:

Least Common Multiple of 9774 and 9781 = 95599494

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 9781

9781 = 9781

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

LCM = 95599494 = 2 x 3 x 3 x 3 x 181 x 9781

Step 4: Therefore, the least common multiple of 9774 and 9781 is 95599494.