Least Common Multiple of 9722 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 9722 and 9726 the smallest integer that is 47278086 that is divisible by both numbers.

Least Common Multiple (LCM) of 9722 and 9726 is 47278086.

LCM(9722,9726) = 47278086

LCM of 9722 and 9726

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

LCM of:
and

Least Common Multiple of 9722 and 9726

LCM of 9722 and 9726 is 47278086

Least common multiple can be found by multiplying the highest exponent prime factors of 9722 and 9726. First we will calculate the prime factors of 9722 and 9726.

Prime Factorization of 9722


2 9722
4861 4861
1

Prime factors of 9722 are 2,4861. Prime factorization of 9722 in exponential form is:

9722 = 21×48611

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 9722 and 9726.

LCM(9722,9726) = 21×31×16211×48611
LCM(9722,9726) = 47278086

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1, 2, 4861, 9722

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 9722 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 9722 and 9726, than apply into the LCM equation.

GCF(9722,9726) = 2
LCM(9722,9726) = ( 9722 × 9726) / 2
LCM(9722,9726) = 94556172 / 2
LCM(9722,9726) = 47278086

Properties of LCM 9722 and 9726

(i) The LCM of 9726 and 9722 is associative

LCM of 9722 and 9726 = LCM of 9726 and 9722

Related Least Common Multiples of 9722

Related Least Common Multiples of 9726

Frequently Asked Questions on LCM of 9722 and 9726

1. What is the LCM of 9722 and 9726?

Answer: LCM of 9722 and 9726 is 47278086.

2. What are the Factors of 9722?

Answer: Factors of 9722 are 1, 2, 4861, 9722. There are 4 integers that are factors of 9722. The greatest factor of 9722 is 9722.

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 9722 and 9726?

Answer:

Least Common Multiple of 9722 and 9726 = 47278086

Step 1: Find the prime factorization of 9722

9722 = 2 x 4861

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 = 47278086 = 2 x 3 x 1621 x 4861

Step 4: Therefore, the least common multiple of 9722 and 9726 is 47278086.