Least Common Multiple of 9671 and 9674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9671 and 9674 the smallest integer that is 93557254 that is divisible by both numbers.

Least Common Multiple (LCM) of 9671 and 9674 is 93557254.

LCM(9671,9674) = 93557254

LCM of 9671 and 9674

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

LCM of:
and

Least Common Multiple of 9671 and 9674

LCM of 9671 and 9674 is 93557254

Least common multiple can be found by multiplying the highest exponent prime factors of 9671 and 9674. First we will calculate the prime factors of 9671 and 9674.

Prime Factorization of 9671


19 9671
509 509
1

Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:

9671 = 191×5091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9671 and 9674.

LCM(9671,9674) = 21×71×191×5091×6911
LCM(9671,9674) = 93557254

Factors of 9671

List of positive integer factors of 9671 that divides 9671 without a remainder.

1, 19, 509, 9671

Factors of 9674

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

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

Least Common Multiple of 9671 and 9674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9671 and 9674, than apply into the LCM equation.

GCF(9671,9674) = 1
LCM(9671,9674) = ( 9671 × 9674) / 1
LCM(9671,9674) = 93557254 / 1
LCM(9671,9674) = 93557254

Properties of LCM 9671 and 9674

(i) The LCM of 9674 and 9671 is associative

LCM of 9671 and 9674 = LCM of 9674 and 9671

Related Least Common Multiples of 9671

Related Least Common Multiples of 9674

Frequently Asked Questions on LCM of 9671 and 9674

1. What is the LCM of 9671 and 9674?

Answer: LCM of 9671 and 9674 is 93557254.

2. What are the Factors of 9671?

Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.

3. 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.

4. How to Find the LCM of 9671 and 9674?

Answer:

Least Common Multiple of 9671 and 9674 = 93557254

Step 1: Find the prime factorization of 9671

9671 = 19 x 509

Step 2: Find the prime factorization of 9674

9674 = 2 x 7 x 691

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

LCM = 93557254 = 2 x 7 x 19 x 509 x 691

Step 4: Therefore, the least common multiple of 9671 and 9674 is 93557254.