Least Common Multiple of 9721 and 9727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9721 and 9727 the smallest integer that is 94556167 that is divisible by both numbers.

Least Common Multiple (LCM) of 9721 and 9727 is 94556167.

LCM(9721,9727) = 94556167

LCM of 9721 and 9727

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

LCM of:
and

Least Common Multiple of 9721 and 9727

LCM of 9721 and 9727 is 94556167

Least common multiple can be found by multiplying the highest exponent prime factors of 9721 and 9727. First we will calculate the prime factors of 9721 and 9727.

Prime Factorization of 9721


9721 9721
1

Prime factors of 9721 are 9721. Prime factorization of 9721 in exponential form is:

9721 = 97211

Prime Factorization of 9727


71 9727
137 137
1

Prime factors of 9727 are 71,137. Prime factorization of 9727 in exponential form is:

9727 = 711×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9721 and 9727.

LCM(9721,9727) = 711×1371×97211
LCM(9721,9727) = 94556167

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1, 9721

Factors of 9727

List of positive integer factors of 9727 that divides 9727 without a remainder.

1, 71, 137, 9727

Least Common Multiple of 9721 and 9727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9721 and 9727, than apply into the LCM equation.

GCF(9721,9727) = 1
LCM(9721,9727) = ( 9721 × 9727) / 1
LCM(9721,9727) = 94556167 / 1
LCM(9721,9727) = 94556167

Properties of LCM 9721 and 9727

(i) The LCM of 9727 and 9721 is associative

LCM of 9721 and 9727 = LCM of 9727 and 9721

Related Least Common Multiples of 9721

Related Least Common Multiples of 9727

Frequently Asked Questions on LCM of 9721 and 9727

1. What is the LCM of 9721 and 9727?

Answer: LCM of 9721 and 9727 is 94556167.

2. What are the Factors of 9721?

Answer: Factors of 9721 are 1, 9721. There are 2 integers that are factors of 9721. The greatest factor of 9721 is 9721.

3. What are the Factors of 9727?

Answer: Factors of 9727 are 1, 71, 137, 9727. There are 4 integers that are factors of 9727. The greatest factor of 9727 is 9727.

4. How to Find the LCM of 9721 and 9727?

Answer:

Least Common Multiple of 9721 and 9727 = 94556167

Step 1: Find the prime factorization of 9721

9721 = 9721

Step 2: Find the prime factorization of 9727

9727 = 71 x 137

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

LCM = 94556167 = 71 x 137 x 9721

Step 4: Therefore, the least common multiple of 9721 and 9727 is 94556167.