Least Common Multiple of 788 and 790

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 790 the smallest integer that is 311260 that is divisible by both numbers.

Least Common Multiple (LCM) of 788 and 790 is 311260.

LCM(788,790) = 311260

LCM of 788 and 790

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

LCM of:
and

Least Common Multiple of 788 and 790

LCM of 788 and 790 is 311260

Least common multiple can be found by multiplying the highest exponent prime factors of 788 and 790. First we will calculate the prime factors of 788 and 790.

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 790


2 790
5 395
79 79
1

Prime factors of 790 are 2, 5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 788 and 790.

LCM(788,790) = 22×51×791×1971
LCM(788,790) = 311260

Factors of 788

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

1, 2, 4, 197, 394, 788

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Least Common Multiple of 788 and 790 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 790, than apply into the LCM equation.

GCF(788,790) = 2
LCM(788,790) = ( 788 × 790) / 2
LCM(788,790) = 622520 / 2
LCM(788,790) = 311260

Properties of LCM 788 and 790

(i) The LCM of 790 and 788 is associative

LCM of 788 and 790 = LCM of 790 and 788

Related Least Common Multiples of 788

Related Least Common Multiples of 790

Frequently Asked Questions on LCM of 788 and 790

1. What is the LCM of 788 and 790?

Answer: LCM of 788 and 790 is 311260.

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 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

4. How to Find the LCM of 788 and 790?

Answer:

Least Common Multiple of 788 and 790 = 311260

Step 1: Find the prime factorization of 788

788 = 2 x 2 x 197

Step 2: Find the prime factorization of 790

790 = 2 x 5 x 79

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

LCM = 311260 = 2 x 2 x 5 x 79 x 197

Step 4: Therefore, the least common multiple of 788 and 790 is 311260.