Least Common Multiple of 9718 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 9718 and 9726 the smallest integer that is 47258634 that is divisible by both numbers.

Least Common Multiple (LCM) of 9718 and 9726 is 47258634.

LCM(9718,9726) = 47258634

LCM of 9718 and 9726

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

LCM of:
and

Least Common Multiple of 9718 and 9726

LCM of 9718 and 9726 is 47258634

Least common multiple can be found by multiplying the highest exponent prime factors of 9718 and 9726. First we will calculate the prime factors of 9718 and 9726.

Prime Factorization of 9718


2 9718
43 4859
113 113
1

Prime factors of 9718 are 2, 43,113. Prime factorization of 9718 in exponential form is:

9718 = 21×431×1131

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 9718 and 9726.

LCM(9718,9726) = 21×31×431×1131×16211
LCM(9718,9726) = 47258634

Factors of 9718

List of positive integer factors of 9718 that divides 9718 without a remainder.

1, 2, 43, 86, 113, 226, 4859, 9718

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 9718 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 9718 and 9726, than apply into the LCM equation.

GCF(9718,9726) = 2
LCM(9718,9726) = ( 9718 × 9726) / 2
LCM(9718,9726) = 94517268 / 2
LCM(9718,9726) = 47258634

Properties of LCM 9718 and 9726

(i) The LCM of 9726 and 9718 is associative

LCM of 9718 and 9726 = LCM of 9726 and 9718

Related Least Common Multiples of 9718

Related Least Common Multiples of 9726

Frequently Asked Questions on LCM of 9718 and 9726

1. What is the LCM of 9718 and 9726?

Answer: LCM of 9718 and 9726 is 47258634.

2. What are the Factors of 9718?

Answer: Factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718. There are 8 integers that are factors of 9718. The greatest factor of 9718 is 9718.

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 9718 and 9726?

Answer:

Least Common Multiple of 9718 and 9726 = 47258634

Step 1: Find the prime factorization of 9718

9718 = 2 x 43 x 113

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 = 47258634 = 2 x 3 x 43 x 113 x 1621

Step 4: Therefore, the least common multiple of 9718 and 9726 is 47258634.