Least Common Multiple of 9727 and 9730

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

• Least Common Multiple of 9727 and 9730 by Prime method
• Least Common Multiple of 9727 and 9730 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9727 and 9730. First we will calculate the prime factors of 9727 and 9730.

Prime Factorization of 9727

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

9727 = 71¹×137¹

Prime Factorization of 9730

Prime factors of 9730 are 2, 5, 7,139. Prime factorization of 9730 in exponential form is:

9730 = 2¹×5¹×7¹×139¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9727 and 9730.

LCM(9727,9730) = 2¹×5¹×7¹×71¹×137¹×139¹
LCM(9727,9730) = 94643710

Factors of 9727

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

1, 71, 137, 9727

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9727 and 9730, than apply into the LCM equation.

GCF(9727,9730) = 1
LCM(9727,9730) = ( 9727 × 9730) / 1
LCM(9727,9730) = 94643710 / 1
LCM(9727,9730) = 94643710

(i) The LCM of 9730 and 9727 is associative

LCM of 9727 and 9730 = LCM of 9730 and 9727

1. What is the LCM of 9727 and 9730?

Answer: LCM of 9727 and 9730 is 94643710.

2. 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.

3. What are the Factors of 9730?

Answer: Factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730. There are 16 integers that are factors of 9730. The greatest factor of 9730 is 9730.

4. How to Find the LCM of 9727 and 9730?

Answer:

Least Common Multiple of 9727 and 9730 = 94643710

Step 1: Find the prime factorization of 9727

9727 = 71 x 137

Step 2: Find the prime factorization of 9730

9730 = 2 x 5 x 7 x 139

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

LCM = 94643710 = 2 x 5 x 7 x 71 x 137 x 139

Step 4: Therefore, the least common multiple of 9727 and 9730 is 94643710.