Least Common Multiple of 7764 and 7772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7764 and 7772 the smallest integer that is 15085452 that is divisible by both numbers.

Least Common Multiple (LCM) of 7764 and 7772 is 15085452.

LCM(7764,7772) = 15085452

LCM of 7764 and 7772

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

LCM of:
and

Least Common Multiple of 7764 and 7772

LCM of 7764 and 7772 is 15085452

Least common multiple can be found by multiplying the highest exponent prime factors of 7764 and 7772. First we will calculate the prime factors of 7764 and 7772.

Prime Factorization of 7764


2 7764
2 3882
3 1941
647 647
1

Prime factors of 7764 are 2, 3,647. Prime factorization of 7764 in exponential form is:

7764 = 22×31×6471

Prime Factorization of 7772


2 7772
2 3886
29 1943
67 67
1

Prime factors of 7772 are 2, 29,67. Prime factorization of 7772 in exponential form is:

7772 = 22×291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7764 and 7772.

LCM(7764,7772) = 22×31×291×671×6471
LCM(7764,7772) = 15085452

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764

Factors of 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772

Least Common Multiple of 7764 and 7772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7764 and 7772, than apply into the LCM equation.

GCF(7764,7772) = 4
LCM(7764,7772) = ( 7764 × 7772) / 4
LCM(7764,7772) = 60341808 / 4
LCM(7764,7772) = 15085452

Properties of LCM 7764 and 7772

(i) The LCM of 7772 and 7764 is associative

LCM of 7764 and 7772 = LCM of 7772 and 7764

Related Least Common Multiples of 7764

Related Least Common Multiples of 7772

Frequently Asked Questions on LCM of 7764 and 7772

1. What is the LCM of 7764 and 7772?

Answer: LCM of 7764 and 7772 is 15085452.

2. What are the Factors of 7764?

Answer: Factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764. There are 12 integers that are factors of 7764. The greatest factor of 7764 is 7764.

3. What are the Factors of 7772?

Answer: Factors of 7772 are 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772. There are 12 integers that are factors of 7772. The greatest factor of 7772 is 7772.

4. How to Find the LCM of 7764 and 7772?

Answer:

Least Common Multiple of 7764 and 7772 = 15085452

Step 1: Find the prime factorization of 7764

7764 = 2 x 2 x 3 x 647

Step 2: Find the prime factorization of 7772

7772 = 2 x 2 x 29 x 67

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

LCM = 15085452 = 2 x 2 x 3 x 29 x 67 x 647

Step 4: Therefore, the least common multiple of 7764 and 7772 is 15085452.