Least Common Multiple of 9767 and 9774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9767 and 9774 the smallest integer that is 95462658 that is divisible by both numbers.

Least Common Multiple (LCM) of 9767 and 9774 is 95462658.

LCM(9767,9774) = 95462658

LCM of 9767 and 9774

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

LCM of:
and

Least Common Multiple of 9767 and 9774

LCM of 9767 and 9774 is 95462658

Least common multiple can be found by multiplying the highest exponent prime factors of 9767 and 9774. First we will calculate the prime factors of 9767 and 9774.

Prime Factorization of 9767


9767 9767
1

Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:

9767 = 97671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9767 and 9774.

LCM(9767,9774) = 21×33×1811×97671
LCM(9767,9774) = 95462658

Factors of 9767

List of positive integer factors of 9767 that divides 9767 without a remainder.

1, 9767

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

Least Common Multiple of 9767 and 9774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9767 and 9774, than apply into the LCM equation.

GCF(9767,9774) = 1
LCM(9767,9774) = ( 9767 × 9774) / 1
LCM(9767,9774) = 95462658 / 1
LCM(9767,9774) = 95462658

Properties of LCM 9767 and 9774

(i) The LCM of 9774 and 9767 is associative

LCM of 9767 and 9774 = LCM of 9774 and 9767

Related Least Common Multiples of 9767

Related Least Common Multiples of 9774

Frequently Asked Questions on LCM of 9767 and 9774

1. What is the LCM of 9767 and 9774?

Answer: LCM of 9767 and 9774 is 95462658.

2. What are the Factors of 9767?

Answer: Factors of 9767 are 1, 9767. There are 2 integers that are factors of 9767. The greatest factor of 9767 is 9767.

3. 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.

4. How to Find the LCM of 9767 and 9774?

Answer:

Least Common Multiple of 9767 and 9774 = 95462658

Step 1: Find the prime factorization of 9767

9767 = 9767

Step 2: Find the prime factorization of 9774

9774 = 2 x 3 x 3 x 3 x 181

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

LCM = 95462658 = 2 x 3 x 3 x 3 x 181 x 9767

Step 4: Therefore, the least common multiple of 9767 and 9774 is 95462658.