Least Common Multiple of 788 and 793

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 793 the smallest integer that is 624884 that is divisible by both numbers.

Least Common Multiple (LCM) of 788 and 793 is 624884.

LCM(788,793) = 624884

LCM of 788 and 793

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

LCM of:
and

Least Common Multiple of 788 and 793

LCM of 788 and 793 is 624884

Least common multiple can be found by multiplying the highest exponent prime factors of 788 and 793. First we will calculate the prime factors of 788 and 793.

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 793


13 793
61 61
1

Prime factors of 793 are 13,61. Prime factorization of 793 in exponential form is:

793 = 131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 788 and 793.

LCM(788,793) = 22×131×611×1971
LCM(788,793) = 624884

Factors of 788

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

1, 2, 4, 197, 394, 788

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Least Common Multiple of 788 and 793 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 793, than apply into the LCM equation.

GCF(788,793) = 1
LCM(788,793) = ( 788 × 793) / 1
LCM(788,793) = 624884 / 1
LCM(788,793) = 624884

Properties of LCM 788 and 793

(i) The LCM of 793 and 788 is associative

LCM of 788 and 793 = LCM of 793 and 788

Related Least Common Multiples of 788

Related Least Common Multiples of 793

Frequently Asked Questions on LCM of 788 and 793

1. What is the LCM of 788 and 793?

Answer: LCM of 788 and 793 is 624884.

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 793?

Answer: Factors of 793 are 1, 13, 61, 793. There are 4 integers that are factors of 793. The greatest factor of 793 is 793.

4. How to Find the LCM of 788 and 793?

Answer:

Least Common Multiple of 788 and 793 = 624884

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

Step 2: Find the prime factorization of 793

793 = 13 x 61

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

LCM = 624884 = 2 x 2 x 13 x 61 x 197

Step 4: Therefore, the least common multiple of 788 and 793 is 624884.