Least Common Multiple of 9670 and 9676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9670 and 9676 the smallest integer that is 46783460 that is divisible by both numbers.

Least Common Multiple (LCM) of 9670 and 9676 is 46783460.

LCM(9670,9676) = 46783460

LCM of 9670 and 9676

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

LCM of:
and

Least Common Multiple of 9670 and 9676

LCM of 9670 and 9676 is 46783460

Least common multiple can be found by multiplying the highest exponent prime factors of 9670 and 9676. First we will calculate the prime factors of 9670 and 9676.

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

Prime Factorization of 9676


2 9676
2 4838
41 2419
59 59
1

Prime factors of 9676 are 2, 41,59. Prime factorization of 9676 in exponential form is:

9676 = 22×411×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9670 and 9676.

LCM(9670,9676) = 22×51×411×591×9671
LCM(9670,9676) = 46783460

Factors of 9670

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

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

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676

Least Common Multiple of 9670 and 9676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9670 and 9676, than apply into the LCM equation.

GCF(9670,9676) = 2
LCM(9670,9676) = ( 9670 × 9676) / 2
LCM(9670,9676) = 93566920 / 2
LCM(9670,9676) = 46783460

Properties of LCM 9670 and 9676

(i) The LCM of 9676 and 9670 is associative

LCM of 9670 and 9676 = LCM of 9676 and 9670

Related Least Common Multiples of 9670

Related Least Common Multiples of 9676

Frequently Asked Questions on LCM of 9670 and 9676

1. What is the LCM of 9670 and 9676?

Answer: LCM of 9670 and 9676 is 46783460.

2. 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.

3. What are the Factors of 9676?

Answer: Factors of 9676 are 1, 2, 4, 41, 59, 82, 118, 164, 236, 2419, 4838, 9676. There are 12 integers that are factors of 9676. The greatest factor of 9676 is 9676.

4. How to Find the LCM of 9670 and 9676?

Answer:

Least Common Multiple of 9670 and 9676 = 46783460

Step 1: Find the prime factorization of 9670

9670 = 2 x 5 x 967

Step 2: Find the prime factorization of 9676

9676 = 2 x 2 x 41 x 59

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

LCM = 46783460 = 2 x 2 x 5 x 41 x 59 x 967

Step 4: Therefore, the least common multiple of 9670 and 9676 is 46783460.