Least Common Multiple of 787 and 794

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 794 the smallest integer that is 624878 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 794 is 624878.

LCM(787,794) = 624878

LCM of 787 and 794

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

LCM of:
and

Least Common Multiple of 787 and 794

LCM of 787 and 794 is 624878

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 794. First we will calculate the prime factors of 787 and 794.

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 794


2 794
397 397
1

Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:

794 = 21×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 787 and 794.

LCM(787,794) = 21×3971×7871
LCM(787,794) = 624878

Factors of 787

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

1, 787

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Least Common Multiple of 787 and 794 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 794, than apply into the LCM equation.

GCF(787,794) = 1
LCM(787,794) = ( 787 × 794) / 1
LCM(787,794) = 624878 / 1
LCM(787,794) = 624878

Properties of LCM 787 and 794

(i) The LCM of 794 and 787 is associative

LCM of 787 and 794 = LCM of 794 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 794

Frequently Asked Questions on LCM of 787 and 794

1. What is the LCM of 787 and 794?

Answer: LCM of 787 and 794 is 624878.

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 794?

Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.

4. How to Find the LCM of 787 and 794?

Answer:

Least Common Multiple of 787 and 794 = 624878

Step 1: Find the prime factorization of 787

787 = 787

Step 2: Find the prime factorization of 794

794 = 2 x 397

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

LCM = 624878 = 2 x 397 x 787

Step 4: Therefore, the least common multiple of 787 and 794 is 624878.