Least Common Multiple of 773 and 780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 773 and 780 the smallest integer that is 602940 that is divisible by both numbers.

Least Common Multiple (LCM) of 773 and 780 is 602940.

LCM(773,780) = 602940

LCM of 773 and 780

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

LCM of:
and

Least Common Multiple of 773 and 780

LCM of 773 and 780 is 602940

Least common multiple can be found by multiplying the highest exponent prime factors of 773 and 780. First we will calculate the prime factors of 773 and 780.

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

Prime Factorization of 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2, 3, 5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 773 and 780.

LCM(773,780) = 22×31×51×131×7731
LCM(773,780) = 602940

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Least Common Multiple of 773 and 780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 773 and 780, than apply into the LCM equation.

GCF(773,780) = 1
LCM(773,780) = ( 773 × 780) / 1
LCM(773,780) = 602940 / 1
LCM(773,780) = 602940

Properties of LCM 773 and 780

(i) The LCM of 780 and 773 is associative

LCM of 773 and 780 = LCM of 780 and 773

Related Least Common Multiples of 773

Related Least Common Multiples of 780

Frequently Asked Questions on LCM of 773 and 780

1. What is the LCM of 773 and 780?

Answer: LCM of 773 and 780 is 602940.

2. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

3. What are the Factors of 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

4. How to Find the LCM of 773 and 780?

Answer:

Least Common Multiple of 773 and 780 = 602940

Step 1: Find the prime factorization of 773

773 = 773

Step 2: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

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

LCM = 602940 = 2 x 2 x 3 x 5 x 13 x 773

Step 4: Therefore, the least common multiple of 773 and 780 is 602940.