Least Common Multiple of 9662 and 9667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9662 and 9667 the smallest integer that is 93402554 that is divisible by both numbers.

Least Common Multiple (LCM) of 9662 and 9667 is 93402554.

LCM(9662,9667) = 93402554

LCM of 9662 and 9667

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

LCM of:
and

Least Common Multiple of 9662 and 9667

LCM of 9662 and 9667 is 93402554

Least common multiple can be found by multiplying the highest exponent prime factors of 9662 and 9667. First we will calculate the prime factors of 9662 and 9667.

Prime Factorization of 9662


2 9662
4831 4831
1

Prime factors of 9662 are 2,4831. Prime factorization of 9662 in exponential form is:

9662 = 21×48311

Prime Factorization of 9667


7 9667
1381 1381
1

Prime factors of 9667 are 7,1381. Prime factorization of 9667 in exponential form is:

9667 = 71×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 9662 and 9667.

LCM(9662,9667) = 21×71×13811×48311
LCM(9662,9667) = 93402554

Factors of 9662

List of positive integer factors of 9662 that divides 9662 without a remainder.

1, 2, 4831, 9662

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1, 7, 1381, 9667

Least Common Multiple of 9662 and 9667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9662 and 9667, than apply into the LCM equation.

GCF(9662,9667) = 1
LCM(9662,9667) = ( 9662 × 9667) / 1
LCM(9662,9667) = 93402554 / 1
LCM(9662,9667) = 93402554

Properties of LCM 9662 and 9667

(i) The LCM of 9667 and 9662 is associative

LCM of 9662 and 9667 = LCM of 9667 and 9662

Related Least Common Multiples of 9662

Related Least Common Multiples of 9667

Frequently Asked Questions on LCM of 9662 and 9667

1. What is the LCM of 9662 and 9667?

Answer: LCM of 9662 and 9667 is 93402554.

2. What are the Factors of 9662?

Answer: Factors of 9662 are 1, 2, 4831, 9662. There are 4 integers that are factors of 9662. The greatest factor of 9662 is 9662.

3. What are the Factors of 9667?

Answer: Factors of 9667 are 1, 7, 1381, 9667. There are 4 integers that are factors of 9667. The greatest factor of 9667 is 9667.

4. How to Find the LCM of 9662 and 9667?

Answer:

Least Common Multiple of 9662 and 9667 = 93402554

Step 1: Find the prime factorization of 9662

9662 = 2 x 4831

Step 2: Find the prime factorization of 9667

9667 = 7 x 1381

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

LCM = 93402554 = 2 x 7 x 1381 x 4831

Step 4: Therefore, the least common multiple of 9662 and 9667 is 93402554.