Least Common Multiple of 7776 and 7777

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 7777 the smallest integer that is 60473952 that is divisible by both numbers.

Least Common Multiple (LCM) of 7776 and 7777 is 60473952.

LCM(7776,7777) = 60473952

LCM of 7776 and 7777

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

LCM of:
and

Least Common Multiple of 7776 and 7777

LCM of 7776 and 7777 is 60473952

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7777. First we will calculate the prime factors of 7776 and 7777.

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 7777


7 7777
11 1111
101 101
1

Prime factors of 7777 are 7, 11,101. Prime factorization of 7777 in exponential form is:

7777 = 71×111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7777.

LCM(7776,7777) = 25×35×71×111×1011
LCM(7776,7777) = 60473952

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 7777

List of positive integer factors of 7777 that divides 7777 without a remainder.

1, 7, 11, 77, 101, 707, 1111, 7777

Least Common Multiple of 7776 and 7777 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 7777, than apply into the LCM equation.

GCF(7776,7777) = 1
LCM(7776,7777) = ( 7776 × 7777) / 1
LCM(7776,7777) = 60473952 / 1
LCM(7776,7777) = 60473952

Properties of LCM 7776 and 7777

(i) The LCM of 7777 and 7776 is associative

LCM of 7776 and 7777 = LCM of 7777 and 7776

Related Least Common Multiples of 7776

Related Least Common Multiples of 7777

Frequently Asked Questions on LCM of 7776 and 7777

1. What is the LCM of 7776 and 7777?

Answer: LCM of 7776 and 7777 is 60473952.

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 7777?

Answer: Factors of 7777 are 1, 7, 11, 77, 101, 707, 1111, 7777. There are 8 integers that are factors of 7777. The greatest factor of 7777 is 7777.

4. How to Find the LCM of 7776 and 7777?

Answer:

Least Common Multiple of 7776 and 7777 = 60473952

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 7777

7777 = 7 x 11 x 101

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

LCM = 60473952 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 101

Step 4: Therefore, the least common multiple of 7776 and 7777 is 60473952.