Least Common Multiple of 784 and 787

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 787 the smallest integer that is 617008 that is divisible by both numbers.

Least Common Multiple (LCM) of 784 and 787 is 617008.

LCM(784,787) = 617008

LCM of 784 and 787

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

LCM of:
and

Least Common Multiple of 784 and 787

LCM of 784 and 787 is 617008

Least common multiple can be found by multiplying the highest exponent prime factors of 784 and 787. First we will calculate the prime factors of 784 and 787.

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 787


787 787
1

Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:

787 = 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 784 and 787.

LCM(784,787) = 24×72×7871
LCM(784,787) = 617008

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 787

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

1, 787

Least Common Multiple of 784 and 787 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 787, than apply into the LCM equation.

GCF(784,787) = 1
LCM(784,787) = ( 784 × 787) / 1
LCM(784,787) = 617008 / 1
LCM(784,787) = 617008

Properties of LCM 784 and 787

(i) The LCM of 787 and 784 is associative

LCM of 784 and 787 = LCM of 787 and 784

Related Least Common Multiples of 784

Related Least Common Multiples of 787

Frequently Asked Questions on LCM of 784 and 787

1. What is the LCM of 784 and 787?

Answer: LCM of 784 and 787 is 617008.

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 787?

Answer: Factors of 787 are 1, 787. There are 2 integers that are factors of 787. The greatest factor of 787 is 787.

4. How to Find the LCM of 784 and 787?

Answer:

Least Common Multiple of 784 and 787 = 617008

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 787

787 = 787

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

LCM = 617008 = 2 x 2 x 2 x 2 x 7 x 7 x 787

Step 4: Therefore, the least common multiple of 784 and 787 is 617008.