Least Common Multiple of 68764 and 68769

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 68769 the smallest integer that is 4728831516 that is divisible by both numbers.

Least Common Multiple (LCM) of 68764 and 68769 is 4728831516.

LCM(68764,68769) = 4728831516

LCM of 68764 and 68769

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

LCM of:
and

Least Common Multiple of 68764 and 68769

LCM of 68764 and 68769 is 4728831516

Least common multiple can be found by multiplying the highest exponent prime factors of 68764 and 68769. First we will calculate the prime factors of 68764 and 68769.

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 68769


3 68769
3 22923
3 7641
3 2547
3 849
283 283
1

Prime factors of 68769 are 3,283. Prime factorization of 68769 in exponential form is:

68769 = 35×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 68764 and 68769.

LCM(68764,68769) = 22×35×2831×171911
LCM(68764,68769) = 4728831516

Factors of 68764

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

1, 2, 4, 17191, 34382, 68764

Factors of 68769

List of positive integer factors of 68769 that divides 68769 without a remainder.

1, 3, 9, 27, 81, 243, 283, 849, 2547, 7641, 22923, 68769

Least Common Multiple of 68764 and 68769 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 68769, than apply into the LCM equation.

GCF(68764,68769) = 1
LCM(68764,68769) = ( 68764 × 68769) / 1
LCM(68764,68769) = 4728831516 / 1
LCM(68764,68769) = 4728831516

Properties of LCM 68764 and 68769

(i) The LCM of 68769 and 68764 is associative

LCM of 68764 and 68769 = LCM of 68769 and 68764

Related Least Common Multiples of 68764

Related Least Common Multiples of 68769

Frequently Asked Questions on LCM of 68764 and 68769

1. What is the LCM of 68764 and 68769?

Answer: LCM of 68764 and 68769 is 4728831516.

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 68769?

Answer: Factors of 68769 are 1, 3, 9, 27, 81, 243, 283, 849, 2547, 7641, 22923, 68769. There are 12 integers that are factors of 68769. The greatest factor of 68769 is 68769.

4. How to Find the LCM of 68764 and 68769?

Answer:

Least Common Multiple of 68764 and 68769 = 4728831516

Step 1: Find the prime factorization of 68764

68764 = 2 x 2 x 17191

Step 2: Find the prime factorization of 68769

68769 = 3 x 3 x 3 x 3 x 3 x 283

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

LCM = 4728831516 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 283 x 17191

Step 4: Therefore, the least common multiple of 68764 and 68769 is 4728831516.