Least Common Multiple of 787 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 787 and 793 the smallest integer that is 624091 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 793 is 624091.

LCM(787,793) = 624091

LCM of 787 and 793

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

LCM of:
and

Least Common Multiple of 787 and 793

LCM of 787 and 793 is 624091

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 793. First we will calculate the prime factors of 787 and 793.

Prime Factorization of 787


787 787
1

Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:

787 = 7871

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 787 and 793.

LCM(787,793) = 131×611×7871
LCM(787,793) = 624091

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1, 787

Factors of 793

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

1, 13, 61, 793

Least Common Multiple of 787 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 787 and 793, than apply into the LCM equation.

GCF(787,793) = 1
LCM(787,793) = ( 787 × 793) / 1
LCM(787,793) = 624091 / 1
LCM(787,793) = 624091

Properties of LCM 787 and 793

(i) The LCM of 793 and 787 is associative

LCM of 787 and 793 = LCM of 793 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 793

Frequently Asked Questions on LCM of 787 and 793

1. What is the LCM of 787 and 793?

Answer: LCM of 787 and 793 is 624091.

2. What are the Factors of 787?

Answer: Factors of 787 are 1, 787. There are 2 integers that are factors of 787. The greatest factor of 787 is 787.

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 787 and 793?

Answer:

Least Common Multiple of 787 and 793 = 624091

Step 1: Find the prime factorization of 787

787 = 787

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 = 624091 = 13 x 61 x 787

Step 4: Therefore, the least common multiple of 787 and 793 is 624091.