Least Common Multiple of 9776 and 9780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9776 and 9780 the smallest integer that is 23902320 that is divisible by both numbers.

Least Common Multiple (LCM) of 9776 and 9780 is 23902320.

LCM(9776,9780) = 23902320

LCM of 9776 and 9780

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

LCM of:
and

Least Common Multiple of 9776 and 9780

LCM of 9776 and 9780 is 23902320

Least common multiple can be found by multiplying the highest exponent prime factors of 9776 and 9780. First we will calculate the prime factors of 9776 and 9780.

Prime Factorization of 9776


2 9776
2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 9776 are 2, 13,47. Prime factorization of 9776 in exponential form is:

9776 = 24×131×471

Prime Factorization of 9780


2 9780
2 4890
3 2445
5 815
163 163
1

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

9780 = 22×31×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9776 and 9780.

LCM(9776,9780) = 24×31×51×131×471×1631
LCM(9776,9780) = 23902320

Factors of 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776

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

Least Common Multiple of 9776 and 9780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9776 and 9780, than apply into the LCM equation.

GCF(9776,9780) = 4
LCM(9776,9780) = ( 9776 × 9780) / 4
LCM(9776,9780) = 95609280 / 4
LCM(9776,9780) = 23902320

Properties of LCM 9776 and 9780

(i) The LCM of 9780 and 9776 is associative

LCM of 9776 and 9780 = LCM of 9780 and 9776

Related Least Common Multiples of 9776

Related Least Common Multiples of 9780

Frequently Asked Questions on LCM of 9776 and 9780

1. What is the LCM of 9776 and 9780?

Answer: LCM of 9776 and 9780 is 23902320.

2. What are the Factors of 9776?

Answer: Factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. There are 20 integers that are factors of 9776. The greatest factor of 9776 is 9776.

3. 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.

4. How to Find the LCM of 9776 and 9780?

Answer:

Least Common Multiple of 9776 and 9780 = 23902320

Step 1: Find the prime factorization of 9776

9776 = 2 x 2 x 2 x 2 x 13 x 47

Step 2: Find the prime factorization of 9780

9780 = 2 x 2 x 3 x 5 x 163

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

LCM = 23902320 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 47 x 163

Step 4: Therefore, the least common multiple of 9776 and 9780 is 23902320.