Least Common Multiple of 787 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 787 and 795 the smallest integer that is 625665 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 795 is 625665.

LCM(787,795) = 625665

LCM of 787 and 795

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

LCM of:
and

Least Common Multiple of 787 and 795

LCM of 787 and 795 is 625665

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 795. First we will calculate the prime factors of 787 and 795.

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 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 787 and 795.

LCM(787,795) = 31×51×531×7871
LCM(787,795) = 625665

Factors of 787

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

1, 787

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 787 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 787 and 795, than apply into the LCM equation.

GCF(787,795) = 1
LCM(787,795) = ( 787 × 795) / 1
LCM(787,795) = 625665 / 1
LCM(787,795) = 625665

Properties of LCM 787 and 795

(i) The LCM of 795 and 787 is associative

LCM of 787 and 795 = LCM of 795 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 795

Frequently Asked Questions on LCM of 787 and 795

1. What is the LCM of 787 and 795?

Answer: LCM of 787 and 795 is 625665.

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 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 787 and 795?

Answer:

Least Common Multiple of 787 and 795 = 625665

Step 1: Find the prime factorization of 787

787 = 787

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 = 625665 = 3 x 5 x 53 x 787

Step 4: Therefore, the least common multiple of 787 and 795 is 625665.