Least Common Multiple of 68764 and 68768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68764 and 68768 the smallest integer that is 1182190688 that is divisible by both numbers.

Least Common Multiple (LCM) of 68764 and 68768 is 1182190688.

LCM(68764,68768) = 1182190688

LCM of 68764 and 68768

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

LCM of:
and

Least Common Multiple of 68764 and 68768

LCM of 68764 and 68768 is 1182190688

Least common multiple can be found by multiplying the highest exponent prime factors of 68764 and 68768. First we will calculate the prime factors of 68764 and 68768.

Prime Factorization of 68764


2 68764
2 34382
17191 17191
1

Prime factors of 68764 are 2,17191. Prime factorization of 68764 in exponential form is:

68764 = 22×171911

Prime Factorization of 68768


2 68768
2 34384
2 17192
2 8596
2 4298
7 2149
307 307
1

Prime factors of 68768 are 2, 7,307. Prime factorization of 68768 in exponential form is:

68768 = 25×71×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 68764 and 68768.

LCM(68764,68768) = 25×71×3071×171911
LCM(68764,68768) = 1182190688

Factors of 68764

List of positive integer factors of 68764 that divides 68764 without a remainder.

1, 2, 4, 17191, 34382, 68764

Factors of 68768

List of positive integer factors of 68768 that divides 68768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 9824, 17192, 34384, 68768

Least Common Multiple of 68764 and 68768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68764 and 68768, than apply into the LCM equation.

GCF(68764,68768) = 4
LCM(68764,68768) = ( 68764 × 68768) / 4
LCM(68764,68768) = 4728762752 / 4
LCM(68764,68768) = 1182190688

Properties of LCM 68764 and 68768

(i) The LCM of 68768 and 68764 is associative

LCM of 68764 and 68768 = LCM of 68768 and 68764

Related Least Common Multiples of 68764

Related Least Common Multiples of 68768

Frequently Asked Questions on LCM of 68764 and 68768

1. What is the LCM of 68764 and 68768?

Answer: LCM of 68764 and 68768 is 1182190688.

2. What are the Factors of 68764?

Answer: Factors of 68764 are 1, 2, 4, 17191, 34382, 68764. There are 6 integers that are factors of 68764. The greatest factor of 68764 is 68764.

3. What are the Factors of 68768?

Answer: Factors of 68768 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 9824, 17192, 34384, 68768. There are 24 integers that are factors of 68768. The greatest factor of 68768 is 68768.

4. How to Find the LCM of 68764 and 68768?

Answer:

Least Common Multiple of 68764 and 68768 = 1182190688

Step 1: Find the prime factorization of 68764

68764 = 2 x 2 x 17191

Step 2: Find the prime factorization of 68768

68768 = 2 x 2 x 2 x 2 x 2 x 7 x 307

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

LCM = 1182190688 = 2 x 2 x 2 x 2 x 2 x 7 x 307 x 17191

Step 4: Therefore, the least common multiple of 68764 and 68768 is 1182190688.