Least Common Multiple of 781 and 784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 781 and 784 the smallest integer that is 612304 that is divisible by both numbers.

Least Common Multiple (LCM) of 781 and 784 is 612304.

LCM(781,784) = 612304

LCM of 781 and 784

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

LCM of:
and

Least Common Multiple of 781 and 784

LCM of 781 and 784 is 612304

Least common multiple can be found by multiplying the highest exponent prime factors of 781 and 784. First we will calculate the prime factors of 781 and 784.

Prime Factorization of 781


11 781
71 71
1

Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:

781 = 111×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 781 and 784.

LCM(781,784) = 24×72×111×711
LCM(781,784) = 612304

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1, 11, 71, 781

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

Least Common Multiple of 781 and 784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 781 and 784, than apply into the LCM equation.

GCF(781,784) = 1
LCM(781,784) = ( 781 × 784) / 1
LCM(781,784) = 612304 / 1
LCM(781,784) = 612304

Properties of LCM 781 and 784

(i) The LCM of 784 and 781 is associative

LCM of 781 and 784 = LCM of 784 and 781

Related Least Common Multiples of 781

Related Least Common Multiples of 784

Frequently Asked Questions on LCM of 781 and 784

1. What is the LCM of 781 and 784?

Answer: LCM of 781 and 784 is 612304.

2. What are the Factors of 781?

Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.

3. 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.

4. How to Find the LCM of 781 and 784?

Answer:

Least Common Multiple of 781 and 784 = 612304

Step 1: Find the prime factorization of 781

781 = 11 x 71

Step 2: Find the prime factorization of 784

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

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

LCM = 612304 = 2 x 2 x 2 x 2 x 7 x 7 x 11 x 71

Step 4: Therefore, the least common multiple of 781 and 784 is 612304.