Least Common Multiple of 9780 and 9787

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

• Least Common Multiple of 9780 and 9787 by Prime method
• Least Common Multiple of 9780 and 9787 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9780 and 9787. First we will calculate the prime factors of 9780 and 9787.

Prime Factorization of 9780

Prime factors of 9780 are 2, 3, 5,163. Prime factorization of 9780 in exponential form is:

9780 = 2²×3¹×5¹×163¹

Prime Factorization of 9787

Prime factors of 9787 are 9787. Prime factorization of 9787 in exponential form is:

9787 = 9787¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9780 and 9787.

LCM(9780,9787) = 2²×3¹×5¹×163¹×9787¹
LCM(9780,9787) = 95716860

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780

Factors of 9787

List of positive integer factors of 9787 that divides 9787 without a remainder.

1, 9787

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9780 and 9787, than apply into the LCM equation.

GCF(9780,9787) = 1
LCM(9780,9787) = ( 9780 × 9787) / 1
LCM(9780,9787) = 95716860 / 1
LCM(9780,9787) = 95716860

(i) The LCM of 9787 and 9780 is associative

LCM of 9780 and 9787 = LCM of 9787 and 9780

1. What is the LCM of 9780 and 9787?

Answer: LCM of 9780 and 9787 is 95716860.

2. What are the Factors of 9780?

Answer: Factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780. There are 24 integers that are factors of 9780. The greatest factor of 9780 is 9780.

3. What are the Factors of 9787?

Answer: Factors of 9787 are 1, 9787. There are 2 integers that are factors of 9787. The greatest factor of 9787 is 9787.

4. How to Find the LCM of 9780 and 9787?

Answer:

Least Common Multiple of 9780 and 9787 = 95716860

Step 1: Find the prime factorization of 9780

9780 = 2 x 2 x 3 x 5 x 163

Step 2: Find the prime factorization of 9787

9787 = 9787

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

LCM = 95716860 = 2 x 2 x 3 x 5 x 163 x 9787

Step 4: Therefore, the least common multiple of 9780 and 9787 is 95716860.