Least Common Multiple of 7776 and 7778

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 7778 the smallest integer that is 30240864 that is divisible by both numbers.

Least Common Multiple (LCM) of 7776 and 7778 is 30240864.

LCM(7776,7778) = 30240864

LCM of 7776 and 7778

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

LCM of:
and

Least Common Multiple of 7776 and 7778

LCM of 7776 and 7778 is 30240864

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7778. First we will calculate the prime factors of 7776 and 7778.

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 7778


2 7778
3889 3889
1

Prime factors of 7778 are 2,3889. Prime factorization of 7778 in exponential form is:

7778 = 21×38891

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7778.

LCM(7776,7778) = 25×35×38891
LCM(7776,7778) = 30240864

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 7778

List of positive integer factors of 7778 that divides 7778 without a remainder.

1, 2, 3889, 7778

Least Common Multiple of 7776 and 7778 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 7778, than apply into the LCM equation.

GCF(7776,7778) = 2
LCM(7776,7778) = ( 7776 × 7778) / 2
LCM(7776,7778) = 60481728 / 2
LCM(7776,7778) = 30240864

Properties of LCM 7776 and 7778

(i) The LCM of 7778 and 7776 is associative

LCM of 7776 and 7778 = LCM of 7778 and 7776

Related Least Common Multiples of 7776

Related Least Common Multiples of 7778

Frequently Asked Questions on LCM of 7776 and 7778

1. What is the LCM of 7776 and 7778?

Answer: LCM of 7776 and 7778 is 30240864.

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 7778?

Answer: Factors of 7778 are 1, 2, 3889, 7778. There are 4 integers that are factors of 7778. The greatest factor of 7778 is 7778.

4. How to Find the LCM of 7776 and 7778?

Answer:

Least Common Multiple of 7776 and 7778 = 30240864

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 7778

7778 = 2 x 3889

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

LCM = 30240864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3889

Step 4: Therefore, the least common multiple of 7776 and 7778 is 30240864.