Least Common Multiple of 9670 and 9678

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 9678 the smallest integer that is 46793130 that is divisible by both numbers.

Least Common Multiple (LCM) of 9670 and 9678 is 46793130.

LCM(9670,9678) = 46793130

LCM of 9670 and 9678

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

LCM of:
and

Least Common Multiple of 9670 and 9678

LCM of 9670 and 9678 is 46793130

Least common multiple can be found by multiplying the highest exponent prime factors of 9670 and 9678. First we will calculate the prime factors of 9670 and 9678.

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 9678


2 9678
3 4839
1613 1613
1

Prime factors of 9678 are 2, 3,1613. Prime factorization of 9678 in exponential form is:

9678 = 21×31×16131

Now multiplying the highest exponent prime factors to calculate the LCM of 9670 and 9678.

LCM(9670,9678) = 21×31×51×9671×16131
LCM(9670,9678) = 46793130

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 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1, 2, 3, 6, 1613, 3226, 4839, 9678

Least Common Multiple of 9670 and 9678 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 9678, than apply into the LCM equation.

GCF(9670,9678) = 2
LCM(9670,9678) = ( 9670 × 9678) / 2
LCM(9670,9678) = 93586260 / 2
LCM(9670,9678) = 46793130

Properties of LCM 9670 and 9678

(i) The LCM of 9678 and 9670 is associative

LCM of 9670 and 9678 = LCM of 9678 and 9670

Related Least Common Multiples of 9670

Related Least Common Multiples of 9678

Frequently Asked Questions on LCM of 9670 and 9678

1. What is the LCM of 9670 and 9678?

Answer: LCM of 9670 and 9678 is 46793130.

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 9678?

Answer: Factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678. There are 8 integers that are factors of 9678. The greatest factor of 9678 is 9678.

4. How to Find the LCM of 9670 and 9678?

Answer:

Least Common Multiple of 9670 and 9678 = 46793130

Step 1: Find the prime factorization of 9670

9670 = 2 x 5 x 967

Step 2: Find the prime factorization of 9678

9678 = 2 x 3 x 1613

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

LCM = 46793130 = 2 x 3 x 5 x 967 x 1613

Step 4: Therefore, the least common multiple of 9670 and 9678 is 46793130.