Least Common Multiple of 784 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 784 and 788 the smallest integer that is 154448 that is divisible by both numbers.

Least Common Multiple (LCM) of 784 and 788 is 154448.

LCM(784,788) = 154448

LCM of 784 and 788

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

LCM of:
and

Least Common Multiple of 784 and 788

LCM of 784 and 788 is 154448

Least common multiple can be found by multiplying the highest exponent prime factors of 784 and 788. First we will calculate the prime factors of 784 and 788.

Prime Factorization of 784


2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 784 are 2,7. Prime factorization of 784 in exponential form is:

784 = 24×72

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 784 and 788.

LCM(784,788) = 24×72×1971
LCM(784,788) = 154448

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 784 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 784 and 788, than apply into the LCM equation.

GCF(784,788) = 4
LCM(784,788) = ( 784 × 788) / 4
LCM(784,788) = 617792 / 4
LCM(784,788) = 154448

Properties of LCM 784 and 788

(i) The LCM of 788 and 784 is associative

LCM of 784 and 788 = LCM of 788 and 784

Related Least Common Multiples of 784

Related Least Common Multiples of 788

Frequently Asked Questions on LCM of 784 and 788

1. What is the LCM of 784 and 788?

Answer: LCM of 784 and 788 is 154448.

2. What are the Factors of 784?

Answer: Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. There are 15 integers that are factors of 784. The greatest factor of 784 is 784.

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 784 and 788?

Answer:

Least Common Multiple of 784 and 788 = 154448

Step 1: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 x 7

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 = 154448 = 2 x 2 x 2 x 2 x 7 x 7 x 197

Step 4: Therefore, the least common multiple of 784 and 788 is 154448.