Least Common Multiple of 774 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 774 and 780 the smallest integer that is 100620 that is divisible by both numbers.

Least Common Multiple (LCM) of 774 and 780 is 100620.

LCM(774,780) = 100620

LCM of 774 and 780

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

LCM of:
and

Least Common Multiple of 774 and 780

LCM of 774 and 780 is 100620

Least common multiple can be found by multiplying the highest exponent prime factors of 774 and 780. First we will calculate the prime factors of 774 and 780.

Prime Factorization of 774


2 774
3 387
3 129
43 43
1

Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:

774 = 21×32×431

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 774 and 780.

LCM(774,780) = 22×32×51×131×431
LCM(774,780) = 100620

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 774 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 774 and 780, than apply into the LCM equation.

GCF(774,780) = 6
LCM(774,780) = ( 774 × 780) / 6
LCM(774,780) = 603720 / 6
LCM(774,780) = 100620

Properties of LCM 774 and 780

(i) The LCM of 780 and 774 is associative

LCM of 774 and 780 = LCM of 780 and 774

Related Least Common Multiples of 774

Related Least Common Multiples of 780

Frequently Asked Questions on LCM of 774 and 780

1. What is the LCM of 774 and 780?

Answer: LCM of 774 and 780 is 100620.

2. What are the Factors of 774?

Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.

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 774 and 780?

Answer:

Least Common Multiple of 774 and 780 = 100620

Step 1: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

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 = 100620 = 2 x 2 x 3 x 3 x 5 x 13 x 43

Step 4: Therefore, the least common multiple of 774 and 780 is 100620.