Least Common Multiple of 9663 and 9670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9663 and 9670 the smallest integer that is 93441210 that is divisible by both numbers.

Least Common Multiple (LCM) of 9663 and 9670 is 93441210.

LCM(9663,9670) = 93441210

LCM of 9663 and 9670

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

LCM of:
and

Least Common Multiple of 9663 and 9670

LCM of 9663 and 9670 is 93441210

Least common multiple can be found by multiplying the highest exponent prime factors of 9663 and 9670. First we will calculate the prime factors of 9663 and 9670.

Prime Factorization of 9663


3 9663
3221 3221
1

Prime factors of 9663 are 3,3221. Prime factorization of 9663 in exponential form is:

9663 = 31×32211

Prime Factorization of 9670


2 9670
5 4835
967 967
1

Prime factors of 9670 are 2, 5,967. Prime factorization of 9670 in exponential form is:

9670 = 21×51×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 9663 and 9670.

LCM(9663,9670) = 21×31×51×9671×32211
LCM(9663,9670) = 93441210

Factors of 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1, 3, 3221, 9663

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1, 2, 5, 10, 967, 1934, 4835, 9670

Least Common Multiple of 9663 and 9670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9663 and 9670, than apply into the LCM equation.

GCF(9663,9670) = 1
LCM(9663,9670) = ( 9663 × 9670) / 1
LCM(9663,9670) = 93441210 / 1
LCM(9663,9670) = 93441210

Properties of LCM 9663 and 9670

(i) The LCM of 9670 and 9663 is associative

LCM of 9663 and 9670 = LCM of 9670 and 9663

Related Least Common Multiples of 9663

Related Least Common Multiples of 9670

Frequently Asked Questions on LCM of 9663 and 9670

1. What is the LCM of 9663 and 9670?

Answer: LCM of 9663 and 9670 is 93441210.

2. What are the Factors of 9663?

Answer: Factors of 9663 are 1, 3, 3221, 9663. There are 4 integers that are factors of 9663. The greatest factor of 9663 is 9663.

3. What are the Factors of 9670?

Answer: Factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670. There are 8 integers that are factors of 9670. The greatest factor of 9670 is 9670.

4. How to Find the LCM of 9663 and 9670?

Answer:

Least Common Multiple of 9663 and 9670 = 93441210

Step 1: Find the prime factorization of 9663

9663 = 3 x 3221

Step 2: Find the prime factorization of 9670

9670 = 2 x 5 x 967

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

LCM = 93441210 = 2 x 3 x 5 x 967 x 3221

Step 4: Therefore, the least common multiple of 9663 and 9670 is 93441210.