Least Common Multiple of 9725 and 9726

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 9726 the smallest integer that is 94585350 that is divisible by both numbers.

Least Common Multiple (LCM) of 9725 and 9726 is 94585350.

LCM(9725,9726) = 94585350

LCM of 9725 and 9726

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

LCM of:
and

Least Common Multiple of 9725 and 9726

LCM of 9725 and 9726 is 94585350

Least common multiple can be found by multiplying the highest exponent prime factors of 9725 and 9726. First we will calculate the prime factors of 9725 and 9726.

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 9726


2 9726
3 4863
1621 1621
1

Prime factors of 9726 are 2, 3,1621. Prime factorization of 9726 in exponential form is:

9726 = 21×31×16211

Now multiplying the highest exponent prime factors to calculate the LCM of 9725 and 9726.

LCM(9725,9726) = 21×31×52×3891×16211
LCM(9725,9726) = 94585350

Factors of 9725

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

1, 5, 25, 389, 1945, 9725

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1, 2, 3, 6, 1621, 3242, 4863, 9726

Least Common Multiple of 9725 and 9726 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 9726, than apply into the LCM equation.

GCF(9725,9726) = 1
LCM(9725,9726) = ( 9725 × 9726) / 1
LCM(9725,9726) = 94585350 / 1
LCM(9725,9726) = 94585350

Properties of LCM 9725 and 9726

(i) The LCM of 9726 and 9725 is associative

LCM of 9725 and 9726 = LCM of 9726 and 9725

Related Least Common Multiples of 9725

Related Least Common Multiples of 9726

Frequently Asked Questions on LCM of 9725 and 9726

1. What is the LCM of 9725 and 9726?

Answer: LCM of 9725 and 9726 is 94585350.

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 9726?

Answer: Factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726. There are 8 integers that are factors of 9726. The greatest factor of 9726 is 9726.

4. How to Find the LCM of 9725 and 9726?

Answer:

Least Common Multiple of 9725 and 9726 = 94585350

Step 1: Find the prime factorization of 9725

9725 = 5 x 5 x 389

Step 2: Find the prime factorization of 9726

9726 = 2 x 3 x 1621

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

LCM = 94585350 = 2 x 3 x 5 x 5 x 389 x 1621

Step 4: Therefore, the least common multiple of 9725 and 9726 is 94585350.