Least Common Multiple of 7776 and 7780

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 7780 the smallest integer that is 15124320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7776 and 7780 is 15124320.

LCM(7776,7780) = 15124320

LCM of 7776 and 7780

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

LCM of:
and

Least Common Multiple of 7776 and 7780

LCM of 7776 and 7780 is 15124320

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7780. First we will calculate the prime factors of 7776 and 7780.

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 7780


2 7780
2 3890
5 1945
389 389
1

Prime factors of 7780 are 2, 5,389. Prime factorization of 7780 in exponential form is:

7780 = 22×51×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7780.

LCM(7776,7780) = 25×35×51×3891
LCM(7776,7780) = 15124320

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 7780

List of positive integer factors of 7780 that divides 7780 without a remainder.

1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780

Least Common Multiple of 7776 and 7780 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 7780, than apply into the LCM equation.

GCF(7776,7780) = 4
LCM(7776,7780) = ( 7776 × 7780) / 4
LCM(7776,7780) = 60497280 / 4
LCM(7776,7780) = 15124320

Properties of LCM 7776 and 7780

(i) The LCM of 7780 and 7776 is associative

LCM of 7776 and 7780 = LCM of 7780 and 7776

Related Least Common Multiples of 7776

Related Least Common Multiples of 7780

Frequently Asked Questions on LCM of 7776 and 7780

1. What is the LCM of 7776 and 7780?

Answer: LCM of 7776 and 7780 is 15124320.

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 7780?

Answer: Factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780. There are 12 integers that are factors of 7780. The greatest factor of 7780 is 7780.

4. How to Find the LCM of 7776 and 7780?

Answer:

Least Common Multiple of 7776 and 7780 = 15124320

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 7780

7780 = 2 x 2 x 5 x 389

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

LCM = 15124320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 389

Step 4: Therefore, the least common multiple of 7776 and 7780 is 15124320.