Least Common Multiple of 7776 and 7779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7776 and 7779 the smallest integer that is 20163168 that is divisible by both numbers.

Least Common Multiple (LCM) of 7776 and 7779 is 20163168.

LCM(7776,7779) = 20163168

LCM of 7776 and 7779

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

LCM of:
and

Least Common Multiple of 7776 and 7779

LCM of 7776 and 7779 is 20163168

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7779. First we will calculate the prime factors of 7776 and 7779.

Prime Factorization of 7776


2 7776
2 3888
2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 7776 are 2,3. Prime factorization of 7776 in exponential form is:

7776 = 25×35

Prime Factorization of 7779


3 7779
2593 2593
1

Prime factors of 7779 are 3,2593. Prime factorization of 7779 in exponential form is:

7779 = 31×25931

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7779.

LCM(7776,7779) = 25×35×25931
LCM(7776,7779) = 20163168

Factors of 7776

List of positive integer factors of 7776 that divides 7776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776

Factors of 7779

List of positive integer factors of 7779 that divides 7779 without a remainder.

1, 3, 2593, 7779

Least Common Multiple of 7776 and 7779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7776 and 7779, than apply into the LCM equation.

GCF(7776,7779) = 3
LCM(7776,7779) = ( 7776 × 7779) / 3
LCM(7776,7779) = 60489504 / 3
LCM(7776,7779) = 20163168

Properties of LCM 7776 and 7779

(i) The LCM of 7779 and 7776 is associative

LCM of 7776 and 7779 = LCM of 7779 and 7776

Related Least Common Multiples of 7776

Related Least Common Multiples of 7779

Frequently Asked Questions on LCM of 7776 and 7779

1. What is the LCM of 7776 and 7779?

Answer: LCM of 7776 and 7779 is 20163168.

2. What are the Factors of 7776?

Answer: Factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776. There are 36 integers that are factors of 7776. The greatest factor of 7776 is 7776.

3. What are the Factors of 7779?

Answer: Factors of 7779 are 1, 3, 2593, 7779. There are 4 integers that are factors of 7779. The greatest factor of 7779 is 7779.

4. How to Find the LCM of 7776 and 7779?

Answer:

Least Common Multiple of 7776 and 7779 = 20163168

Step 1: Find the prime factorization of 7776

7776 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 7779

7779 = 3 x 2593

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

LCM = 20163168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 2593

Step 4: Therefore, the least common multiple of 7776 and 7779 is 20163168.