Least Common Multiple of 788 and 796

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 796 the smallest integer that is 156812 that is divisible by both numbers.

Least Common Multiple (LCM) of 788 and 796 is 156812.

LCM(788,796) = 156812

LCM of 788 and 796

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

LCM of:
and

Least Common Multiple of 788 and 796

LCM of 788 and 796 is 156812

Least common multiple can be found by multiplying the highest exponent prime factors of 788 and 796. First we will calculate the prime factors of 788 and 796.

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 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 788 and 796.

LCM(788,796) = 22×1971×1991
LCM(788,796) = 156812

Factors of 788

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

1, 2, 4, 197, 394, 788

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Least Common Multiple of 788 and 796 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 796, than apply into the LCM equation.

GCF(788,796) = 4
LCM(788,796) = ( 788 × 796) / 4
LCM(788,796) = 627248 / 4
LCM(788,796) = 156812

Properties of LCM 788 and 796

(i) The LCM of 796 and 788 is associative

LCM of 788 and 796 = LCM of 796 and 788

Related Least Common Multiples of 788

Related Least Common Multiples of 796

Frequently Asked Questions on LCM of 788 and 796

1. What is the LCM of 788 and 796?

Answer: LCM of 788 and 796 is 156812.

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 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

4. How to Find the LCM of 788 and 796?

Answer:

Least Common Multiple of 788 and 796 = 156812

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

Step 2: Find the prime factorization of 796

796 = 2 x 2 x 199

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

LCM = 156812 = 2 x 2 x 197 x 199

Step 4: Therefore, the least common multiple of 788 and 796 is 156812.