Least Common Multiple of 788 and 795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 788 and 795 the smallest integer that is 626460 that is divisible by both numbers.

Least Common Multiple (LCM) of 788 and 795 is 626460.

LCM(788,795) = 626460

LCM of 788 and 795

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

LCM of:
and

Least Common Multiple of 788 and 795

LCM of 788 and 795 is 626460

Least common multiple can be found by multiplying the highest exponent prime factors of 788 and 795. First we will calculate the prime factors of 788 and 795.

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

Prime Factorization of 795


3 795
5 265
53 53
1

Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 788 and 795.

LCM(788,795) = 22×31×51×531×1971
LCM(788,795) = 626460

Factors of 788

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

1, 2, 4, 197, 394, 788

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Least Common Multiple of 788 and 795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 788 and 795, than apply into the LCM equation.

GCF(788,795) = 1
LCM(788,795) = ( 788 × 795) / 1
LCM(788,795) = 626460 / 1
LCM(788,795) = 626460

Properties of LCM 788 and 795

(i) The LCM of 795 and 788 is associative

LCM of 788 and 795 = LCM of 795 and 788

Related Least Common Multiples of 788

Related Least Common Multiples of 795

Frequently Asked Questions on LCM of 788 and 795

1. What is the LCM of 788 and 795?

Answer: LCM of 788 and 795 is 626460.

2. 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.

3. What are the Factors of 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

4. How to Find the LCM of 788 and 795?

Answer:

Least Common Multiple of 788 and 795 = 626460

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

Step 2: Find the prime factorization of 795

795 = 3 x 5 x 53

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

LCM = 626460 = 2 x 2 x 3 x 5 x 53 x 197

Step 4: Therefore, the least common multiple of 788 and 795 is 626460.