Least Common Multiple of 9725 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 9725 and 9727 the smallest integer that is 94595075 that is divisible by both numbers.

Least Common Multiple (LCM) of 9725 and 9727 is 94595075.

LCM(9725,9727) = 94595075

LCM of 9725 and 9727

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

LCM of:
and

Least Common Multiple of 9725 and 9727

LCM of 9725 and 9727 is 94595075

Least common multiple can be found by multiplying the highest exponent prime factors of 9725 and 9727. First we will calculate the prime factors of 9725 and 9727.

Prime Factorization of 9725


5 9725
5 1945
389 389
1

Prime factors of 9725 are 5,389. Prime factorization of 9725 in exponential form is:

9725 = 52×3891

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 9725 and 9727.

LCM(9725,9727) = 52×711×1371×3891
LCM(9725,9727) = 94595075

Factors of 9725

List of positive integer factors of 9725 that divides 9725 without a remainder.

1, 5, 25, 389, 1945, 9725

Factors of 9727

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

1, 71, 137, 9727

Least Common Multiple of 9725 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 9725 and 9727, than apply into the LCM equation.

GCF(9725,9727) = 1
LCM(9725,9727) = ( 9725 × 9727) / 1
LCM(9725,9727) = 94595075 / 1
LCM(9725,9727) = 94595075

Properties of LCM 9725 and 9727

(i) The LCM of 9727 and 9725 is associative

LCM of 9725 and 9727 = LCM of 9727 and 9725

Related Least Common Multiples of 9725

Related Least Common Multiples of 9727

Frequently Asked Questions on LCM of 9725 and 9727

1. What is the LCM of 9725 and 9727?

Answer: LCM of 9725 and 9727 is 94595075.

2. What are the Factors of 9725?

Answer: Factors of 9725 are 1, 5, 25, 389, 1945, 9725. There are 6 integers that are factors of 9725. The greatest factor of 9725 is 9725.

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 9725 and 9727?

Answer:

Least Common Multiple of 9725 and 9727 = 94595075

Step 1: Find the prime factorization of 9725

9725 = 5 x 5 x 389

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 = 94595075 = 5 x 5 x 71 x 137 x 389

Step 4: Therefore, the least common multiple of 9725 and 9727 is 94595075.