Least Common Multiple of 787 and 788

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 788 the smallest integer that is 620156 that is divisible by both numbers.

Least Common Multiple (LCM) of 787 and 788 is 620156.

LCM(787,788) = 620156

LCM of 787 and 788

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

LCM of:
and

Least Common Multiple of 787 and 788

LCM of 787 and 788 is 620156

Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 788. First we will calculate the prime factors of 787 and 788.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 787 and 788.

LCM(787,788) = 22×1971×7871
LCM(787,788) = 620156

Factors of 787

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

1, 787

Factors of 788

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

1, 2, 4, 197, 394, 788

Least Common Multiple of 787 and 788 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 788, than apply into the LCM equation.

GCF(787,788) = 1
LCM(787,788) = ( 787 × 788) / 1
LCM(787,788) = 620156 / 1
LCM(787,788) = 620156

Properties of LCM 787 and 788

(i) The LCM of 788 and 787 is associative

LCM of 787 and 788 = LCM of 788 and 787

Related Least Common Multiples of 787

Related Least Common Multiples of 788

Frequently Asked Questions on LCM of 787 and 788

1. What is the LCM of 787 and 788?

Answer: LCM of 787 and 788 is 620156.

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 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.

4. How to Find the LCM of 787 and 788?

Answer:

Least Common Multiple of 787 and 788 = 620156

Step 1: Find the prime factorization of 787

787 = 787

Step 2: Find the prime factorization of 788

788 = 2 x 2 x 197

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

LCM = 620156 = 2 x 2 x 197 x 787

Step 4: Therefore, the least common multiple of 787 and 788 is 620156.