Least Common Multiple of 9654 and 9661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9654 and 9661 the smallest integer that is 93267294 that is divisible by both numbers.

Least Common Multiple (LCM) of 9654 and 9661 is 93267294.

LCM(9654,9661) = 93267294

LCM of 9654 and 9661

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

LCM of:
and

Least Common Multiple of 9654 and 9661

LCM of 9654 and 9661 is 93267294

Least common multiple can be found by multiplying the highest exponent prime factors of 9654 and 9661. First we will calculate the prime factors of 9654 and 9661.

Prime Factorization of 9654


2 9654
3 4827
1609 1609
1

Prime factors of 9654 are 2, 3,1609. Prime factorization of 9654 in exponential form is:

9654 = 21×31×16091

Prime Factorization of 9661


9661 9661
1

Prime factors of 9661 are 9661. Prime factorization of 9661 in exponential form is:

9661 = 96611

Now multiplying the highest exponent prime factors to calculate the LCM of 9654 and 9661.

LCM(9654,9661) = 21×31×16091×96611
LCM(9654,9661) = 93267294

Factors of 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1, 2, 3, 6, 1609, 3218, 4827, 9654

Factors of 9661

List of positive integer factors of 9661 that divides 9661 without a remainder.

1, 9661

Least Common Multiple of 9654 and 9661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9654 and 9661, than apply into the LCM equation.

GCF(9654,9661) = 1
LCM(9654,9661) = ( 9654 × 9661) / 1
LCM(9654,9661) = 93267294 / 1
LCM(9654,9661) = 93267294

Properties of LCM 9654 and 9661

(i) The LCM of 9661 and 9654 is associative

LCM of 9654 and 9661 = LCM of 9661 and 9654

Related Least Common Multiples of 9654

Related Least Common Multiples of 9661

Frequently Asked Questions on LCM of 9654 and 9661

1. What is the LCM of 9654 and 9661?

Answer: LCM of 9654 and 9661 is 93267294.

2. What are the Factors of 9654?

Answer: Factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654. There are 8 integers that are factors of 9654. The greatest factor of 9654 is 9654.

3. What are the Factors of 9661?

Answer: Factors of 9661 are 1, 9661. There are 2 integers that are factors of 9661. The greatest factor of 9661 is 9661.

4. How to Find the LCM of 9654 and 9661?

Answer:

Least Common Multiple of 9654 and 9661 = 93267294

Step 1: Find the prime factorization of 9654

9654 = 2 x 3 x 1609

Step 2: Find the prime factorization of 9661

9661 = 9661

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

LCM = 93267294 = 2 x 3 x 1609 x 9661

Step 4: Therefore, the least common multiple of 9654 and 9661 is 93267294.