Least Common Multiple of 7773 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 7773 and 7780 the smallest integer that is 60473940 that is divisible by both numbers.

Least Common Multiple (LCM) of 7773 and 7780 is 60473940.

LCM(7773,7780) = 60473940

LCM of 7773 and 7780

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

LCM of:
and

Least Common Multiple of 7773 and 7780

LCM of 7773 and 7780 is 60473940

Least common multiple can be found by multiplying the highest exponent prime factors of 7773 and 7780. First we will calculate the prime factors of 7773 and 7780.

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

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 7773 and 7780.

LCM(7773,7780) = 22×31×51×3891×25911
LCM(7773,7780) = 60473940

Factors of 7773

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

1, 3, 2591, 7773

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 7773 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 7773 and 7780, than apply into the LCM equation.

GCF(7773,7780) = 1
LCM(7773,7780) = ( 7773 × 7780) / 1
LCM(7773,7780) = 60473940 / 1
LCM(7773,7780) = 60473940

Properties of LCM 7773 and 7780

(i) The LCM of 7780 and 7773 is associative

LCM of 7773 and 7780 = LCM of 7780 and 7773

Related Least Common Multiples of 7773

Related Least Common Multiples of 7780

Frequently Asked Questions on LCM of 7773 and 7780

1. What is the LCM of 7773 and 7780?

Answer: LCM of 7773 and 7780 is 60473940.

2. 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.

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 7773 and 7780?

Answer:

Least Common Multiple of 7773 and 7780 = 60473940

Step 1: Find the prime factorization of 7773

7773 = 3 x 2591

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 = 60473940 = 2 x 2 x 3 x 5 x 389 x 2591

Step 4: Therefore, the least common multiple of 7773 and 7780 is 60473940.