Least Common Multiple of 9671 and 9677

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 9677 the smallest integer that is 93586267 that is divisible by both numbers.

Least Common Multiple (LCM) of 9671 and 9677 is 93586267.

LCM(9671,9677) = 93586267

LCM of 9671 and 9677

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

LCM of:
and

Least Common Multiple of 9671 and 9677

LCM of 9671 and 9677 is 93586267

Least common multiple can be found by multiplying the highest exponent prime factors of 9671 and 9677. First we will calculate the prime factors of 9671 and 9677.

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 9677


9677 9677
1

Prime factors of 9677 are 9677. Prime factorization of 9677 in exponential form is:

9677 = 96771

Now multiplying the highest exponent prime factors to calculate the LCM of 9671 and 9677.

LCM(9671,9677) = 191×5091×96771
LCM(9671,9677) = 93586267

Factors of 9671

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

1, 19, 509, 9671

Factors of 9677

List of positive integer factors of 9677 that divides 9677 without a remainder.

1, 9677

Least Common Multiple of 9671 and 9677 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 9677, than apply into the LCM equation.

GCF(9671,9677) = 1
LCM(9671,9677) = ( 9671 × 9677) / 1
LCM(9671,9677) = 93586267 / 1
LCM(9671,9677) = 93586267

Properties of LCM 9671 and 9677

(i) The LCM of 9677 and 9671 is associative

LCM of 9671 and 9677 = LCM of 9677 and 9671

Related Least Common Multiples of 9671

Related Least Common Multiples of 9677

Frequently Asked Questions on LCM of 9671 and 9677

1. What is the LCM of 9671 and 9677?

Answer: LCM of 9671 and 9677 is 93586267.

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 9677?

Answer: Factors of 9677 are 1, 9677. There are 2 integers that are factors of 9677. The greatest factor of 9677 is 9677.

4. How to Find the LCM of 9671 and 9677?

Answer:

Least Common Multiple of 9671 and 9677 = 93586267

Step 1: Find the prime factorization of 9671

9671 = 19 x 509

Step 2: Find the prime factorization of 9677

9677 = 9677

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

LCM = 93586267 = 19 x 509 x 9677

Step 4: Therefore, the least common multiple of 9671 and 9677 is 93586267.