Least Common Multiple of 7767 and 7773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7767 and 7773 the smallest integer that is 20124297 that is divisible by both numbers.

Least Common Multiple (LCM) of 7767 and 7773 is 20124297.

LCM(7767,7773) = 20124297

LCM of 7767 and 7773

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

LCM of:
and

Least Common Multiple of 7767 and 7773

LCM of 7767 and 7773 is 20124297

Least common multiple can be found by multiplying the highest exponent prime factors of 7767 and 7773. First we will calculate the prime factors of 7767 and 7773.

Prime Factorization of 7767


3 7767
3 2589
863 863
1

Prime factors of 7767 are 3,863. Prime factorization of 7767 in exponential form is:

7767 = 32×8631

Prime Factorization of 7773


3 7773
2591 2591
1

Prime factors of 7773 are 3,2591. Prime factorization of 7773 in exponential form is:

7773 = 31×25911

Now multiplying the highest exponent prime factors to calculate the LCM of 7767 and 7773.

LCM(7767,7773) = 32×8631×25911
LCM(7767,7773) = 20124297

Factors of 7767

List of positive integer factors of 7767 that divides 7767 without a remainder.

1, 3, 9, 863, 2589, 7767

Factors of 7773

List of positive integer factors of 7773 that divides 7773 without a remainder.

1, 3, 2591, 7773

Least Common Multiple of 7767 and 7773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7767 and 7773, than apply into the LCM equation.

GCF(7767,7773) = 3
LCM(7767,7773) = ( 7767 × 7773) / 3
LCM(7767,7773) = 60372891 / 3
LCM(7767,7773) = 20124297

Properties of LCM 7767 and 7773

(i) The LCM of 7773 and 7767 is associative

LCM of 7767 and 7773 = LCM of 7773 and 7767

Related Least Common Multiples of 7767

Related Least Common Multiples of 7773

Frequently Asked Questions on LCM of 7767 and 7773

1. What is the LCM of 7767 and 7773?

Answer: LCM of 7767 and 7773 is 20124297.

2. What are the Factors of 7767?

Answer: Factors of 7767 are 1, 3, 9, 863, 2589, 7767. There are 6 integers that are factors of 7767. The greatest factor of 7767 is 7767.

3. What are the Factors of 7773?

Answer: Factors of 7773 are 1, 3, 2591, 7773. There are 4 integers that are factors of 7773. The greatest factor of 7773 is 7773.

4. How to Find the LCM of 7767 and 7773?

Answer:

Least Common Multiple of 7767 and 7773 = 20124297

Step 1: Find the prime factorization of 7767

7767 = 3 x 3 x 863

Step 2: Find the prime factorization of 7773

7773 = 3 x 2591

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

LCM = 20124297 = 3 x 3 x 863 x 2591

Step 4: Therefore, the least common multiple of 7767 and 7773 is 20124297.