Least Common Multiple of 68784 and 68790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68784 and 68790 the smallest integer that is 788608560 that is divisible by both numbers.

Least Common Multiple (LCM) of 68784 and 68790 is 788608560.

LCM(68784,68790) = 788608560

LCM of 68784 and 68790

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

LCM of:
and

Least Common Multiple of 68784 and 68790

LCM of 68784 and 68790 is 788608560

Least common multiple can be found by multiplying the highest exponent prime factors of 68784 and 68790. First we will calculate the prime factors of 68784 and 68790.

Prime Factorization of 68784


2 68784
2 34392
2 17196
2 8598
3 4299
1433 1433
1

Prime factors of 68784 are 2, 3,1433. Prime factorization of 68784 in exponential form is:

68784 = 24×31×14331

Prime Factorization of 68790


2 68790
3 34395
5 11465
2293 2293
1

Prime factors of 68790 are 2, 3, 5,2293. Prime factorization of 68790 in exponential form is:

68790 = 21×31×51×22931

Now multiplying the highest exponent prime factors to calculate the LCM of 68784 and 68790.

LCM(68784,68790) = 24×31×51×14331×22931
LCM(68784,68790) = 788608560

Factors of 68784

List of positive integer factors of 68784 that divides 68784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1433, 2866, 4299, 5732, 8598, 11464, 17196, 22928, 34392, 68784

Factors of 68790

List of positive integer factors of 68790 that divides 68790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2293, 4586, 6879, 11465, 13758, 22930, 34395, 68790

Least Common Multiple of 68784 and 68790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68784 and 68790, than apply into the LCM equation.

GCF(68784,68790) = 6
LCM(68784,68790) = ( 68784 × 68790) / 6
LCM(68784,68790) = 4731651360 / 6
LCM(68784,68790) = 788608560

Properties of LCM 68784 and 68790

(i) The LCM of 68790 and 68784 is associative

LCM of 68784 and 68790 = LCM of 68790 and 68784

Related Least Common Multiples of 68784

Related Least Common Multiples of 68790

Frequently Asked Questions on LCM of 68784 and 68790

1. What is the LCM of 68784 and 68790?

Answer: LCM of 68784 and 68790 is 788608560.

2. What are the Factors of 68784?

Answer: Factors of 68784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1433, 2866, 4299, 5732, 8598, 11464, 17196, 22928, 34392, 68784. There are 20 integers that are factors of 68784. The greatest factor of 68784 is 68784.

3. What are the Factors of 68790?

Answer: Factors of 68790 are 1, 2, 3, 5, 6, 10, 15, 30, 2293, 4586, 6879, 11465, 13758, 22930, 34395, 68790. There are 16 integers that are factors of 68790. The greatest factor of 68790 is 68790.

4. How to Find the LCM of 68784 and 68790?

Answer:

Least Common Multiple of 68784 and 68790 = 788608560

Step 1: Find the prime factorization of 68784

68784 = 2 x 2 x 2 x 2 x 3 x 1433

Step 2: Find the prime factorization of 68790

68790 = 2 x 3 x 5 x 2293

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

LCM = 788608560 = 2 x 2 x 2 x 2 x 3 x 5 x 1433 x 2293

Step 4: Therefore, the least common multiple of 68784 and 68790 is 788608560.