Least Common Multiple of 68805 and 68812

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

• Least Common Multiple of 68805 and 68812 by Prime method
• Least Common Multiple of 68805 and 68812 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68805 and 68812. First we will calculate the prime factors of 68805 and 68812.

Prime Factorization of 68805

Prime factors of 68805 are 3, 5, 11,139. Prime factorization of 68805 in exponential form is:

68805 = 3²×5¹×11¹×139¹

Prime Factorization of 68812

Prime factors of 68812 are 2,17203. Prime factorization of 68812 in exponential form is:

68812 = 2²×17203¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68805 and 68812.

LCM(68805,68812) = 2²×3²×5¹×11¹×139¹×17203¹
LCM(68805,68812) = 4734609660

Factors of 68805

List of positive integer factors of 68805 that divides 68805 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 139, 165, 417, 495, 695, 1251, 1529, 2085, 4587, 6255, 7645, 13761, 22935, 68805

Factors of 68812

List of positive integer factors of 68812 that divides 68812 without a remainder.

1, 2, 4, 17203, 34406, 68812

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68805 and 68812, than apply into the LCM equation.

GCF(68805,68812) = 1
LCM(68805,68812) = ( 68805 × 68812) / 1
LCM(68805,68812) = 4734609660 / 1
LCM(68805,68812) = 4734609660

(i) The LCM of 68812 and 68805 is associative

LCM of 68805 and 68812 = LCM of 68812 and 68805

1. What is the LCM of 68805 and 68812?

Answer: LCM of 68805 and 68812 is 4734609660.

2. What are the Factors of 68805?

Answer: Factors of 68805 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 139, 165, 417, 495, 695, 1251, 1529, 2085, 4587, 6255, 7645, 13761, 22935, 68805. There are 24 integers that are factors of 68805. The greatest factor of 68805 is 68805.

3. What are the Factors of 68812?

Answer: Factors of 68812 are 1, 2, 4, 17203, 34406, 68812. There are 6 integers that are factors of 68812. The greatest factor of 68812 is 68812.

4. How to Find the LCM of 68805 and 68812?

Answer:

Least Common Multiple of 68805 and 68812 = 4734609660

Step 1: Find the prime factorization of 68805

68805 = 3 x 3 x 5 x 11 x 139

Step 2: Find the prime factorization of 68812

68812 = 2 x 2 x 17203

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

LCM = 4734609660 = 2 x 2 x 3 x 3 x 5 x 11 x 139 x 17203

Step 4: Therefore, the least common multiple of 68805 and 68812 is 4734609660.