Least Common Multiple of 7776 and 7781

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 7781 the smallest integer that is 60505056 that is divisible by both numbers.

Least Common Multiple (LCM) of 7776 and 7781 is 60505056.

LCM(7776,7781) = 60505056

LCM of 7776 and 7781

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

LCM of:
and

Least Common Multiple of 7776 and 7781

LCM of 7776 and 7781 is 60505056

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7781. First we will calculate the prime factors of 7776 and 7781.

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 7781


31 7781
251 251
1

Prime factors of 7781 are 31,251. Prime factorization of 7781 in exponential form is:

7781 = 311×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7781.

LCM(7776,7781) = 25×35×311×2511
LCM(7776,7781) = 60505056

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 7781

List of positive integer factors of 7781 that divides 7781 without a remainder.

1, 31, 251, 7781

Least Common Multiple of 7776 and 7781 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 7781, than apply into the LCM equation.

GCF(7776,7781) = 1
LCM(7776,7781) = ( 7776 × 7781) / 1
LCM(7776,7781) = 60505056 / 1
LCM(7776,7781) = 60505056

Properties of LCM 7776 and 7781

(i) The LCM of 7781 and 7776 is associative

LCM of 7776 and 7781 = LCM of 7781 and 7776

Related Least Common Multiples of 7776

Related Least Common Multiples of 7781

Frequently Asked Questions on LCM of 7776 and 7781

1. What is the LCM of 7776 and 7781?

Answer: LCM of 7776 and 7781 is 60505056.

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 7781?

Answer: Factors of 7781 are 1, 31, 251, 7781. There are 4 integers that are factors of 7781. The greatest factor of 7781 is 7781.

4. How to Find the LCM of 7776 and 7781?

Answer:

Least Common Multiple of 7776 and 7781 = 60505056

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 7781

7781 = 31 x 251

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

LCM = 60505056 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 31 x 251

Step 4: Therefore, the least common multiple of 7776 and 7781 is 60505056.