Least Common Multiple of 780 and 788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 780 and 788 the smallest integer that is 153660 that is divisible by both numbers.

Least Common Multiple (LCM) of 780 and 788 is 153660.

LCM(780,788) = 153660

LCM of 780 and 788

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

LCM of:
and

Least Common Multiple of 780 and 788

LCM of 780 and 788 is 153660

Least common multiple can be found by multiplying the highest exponent prime factors of 780 and 788. First we will calculate the prime factors of 780 and 788.

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

Prime Factorization of 788


2 788
2 394
197 197
1

Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:

788 = 22×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 780 and 788.

LCM(780,788) = 22×31×51×131×1971
LCM(780,788) = 153660

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

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Least Common Multiple of 780 and 788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 780 and 788, than apply into the LCM equation.

GCF(780,788) = 4
LCM(780,788) = ( 780 × 788) / 4
LCM(780,788) = 614640 / 4
LCM(780,788) = 153660

Properties of LCM 780 and 788

(i) The LCM of 788 and 780 is associative

LCM of 780 and 788 = LCM of 788 and 780

Related Least Common Multiples of 780

Related Least Common Multiples of 788

Frequently Asked Questions on LCM of 780 and 788

1. What is the LCM of 780 and 788?

Answer: LCM of 780 and 788 is 153660.

2. 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.

3. What are the Factors of 788?

Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.

4. How to Find the LCM of 780 and 788?

Answer:

Least Common Multiple of 780 and 788 = 153660

Step 1: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 788

788 = 2 x 2 x 197

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

LCM = 153660 = 2 x 2 x 3 x 5 x 13 x 197

Step 4: Therefore, the least common multiple of 780 and 788 is 153660.