Least Common Multiple of 9674 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 9674 and 9678 the smallest integer that is 46812486 that is divisible by both numbers.

Least Common Multiple (LCM) of 9674 and 9678 is 46812486.

LCM(9674,9678) = 46812486

LCM of 9674 and 9678

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

LCM of:
and

Least Common Multiple of 9674 and 9678

LCM of 9674 and 9678 is 46812486

Least common multiple can be found by multiplying the highest exponent prime factors of 9674 and 9678. First we will calculate the prime factors of 9674 and 9678.

Prime Factorization of 9674


2 9674
7 4837
691 691
1

Prime factors of 9674 are 2, 7,691. Prime factorization of 9674 in exponential form is:

9674 = 21×71×6911

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 9674 and 9678.

LCM(9674,9678) = 21×31×71×6911×16131
LCM(9674,9678) = 46812486

Factors of 9674

List of positive integer factors of 9674 that divides 9674 without a remainder.

1, 2, 7, 14, 691, 1382, 4837, 9674

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 9674 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 9674 and 9678, than apply into the LCM equation.

GCF(9674,9678) = 2
LCM(9674,9678) = ( 9674 × 9678) / 2
LCM(9674,9678) = 93624972 / 2
LCM(9674,9678) = 46812486

Properties of LCM 9674 and 9678

(i) The LCM of 9678 and 9674 is associative

LCM of 9674 and 9678 = LCM of 9678 and 9674

Related Least Common Multiples of 9674

Related Least Common Multiples of 9678

Frequently Asked Questions on LCM of 9674 and 9678

1. What is the LCM of 9674 and 9678?

Answer: LCM of 9674 and 9678 is 46812486.

2. What are the Factors of 9674?

Answer: Factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674. There are 8 integers that are factors of 9674. The greatest factor of 9674 is 9674.

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 9674 and 9678?

Answer:

Least Common Multiple of 9674 and 9678 = 46812486

Step 1: Find the prime factorization of 9674

9674 = 2 x 7 x 691

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 = 46812486 = 2 x 3 x 7 x 691 x 1613

Step 4: Therefore, the least common multiple of 9674 and 9678 is 46812486.