Least Common Multiple of 68802 and 68807

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

• Least Common Multiple of 68802 and 68807 by Prime method
• Least Common Multiple of 68802 and 68807 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68802 and 68807. First we will calculate the prime factors of 68802 and 68807.

Prime Factorization of 68802

Prime factors of 68802 are 2, 3,11467. Prime factorization of 68802 in exponential form is:

68802 = 2¹×3¹×11467¹

Prime Factorization of 68807

Prime factors of 68807 are 83,829. Prime factorization of 68807 in exponential form is:

68807 = 83¹×829¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68802 and 68807.

LCM(68802,68807) = 2¹×3¹×83¹×829¹×11467¹
LCM(68802,68807) = 4734059214

Factors of 68802

List of positive integer factors of 68802 that divides 68802 without a remainder.

1, 2, 3, 6, 11467, 22934, 34401, 68802

Factors of 68807

List of positive integer factors of 68807 that divides 68807 without a remainder.

1, 83, 829, 68807

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68802 and 68807, than apply into the LCM equation.

GCF(68802,68807) = 1
LCM(68802,68807) = ( 68802 × 68807) / 1
LCM(68802,68807) = 4734059214 / 1
LCM(68802,68807) = 4734059214

(i) The LCM of 68807 and 68802 is associative

LCM of 68802 and 68807 = LCM of 68807 and 68802

1. What is the LCM of 68802 and 68807?

Answer: LCM of 68802 and 68807 is 4734059214.

2. What are the Factors of 68802?

Answer: Factors of 68802 are 1, 2, 3, 6, 11467, 22934, 34401, 68802. There are 8 integers that are factors of 68802. The greatest factor of 68802 is 68802.

3. What are the Factors of 68807?

Answer: Factors of 68807 are 1, 83, 829, 68807. There are 4 integers that are factors of 68807. The greatest factor of 68807 is 68807.

4. How to Find the LCM of 68802 and 68807?

Answer:

Least Common Multiple of 68802 and 68807 = 4734059214

Step 1: Find the prime factorization of 68802

68802 = 2 x 3 x 11467

Step 2: Find the prime factorization of 68807

68807 = 83 x 829

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

LCM = 4734059214 = 2 x 3 x 83 x 829 x 11467

Step 4: Therefore, the least common multiple of 68802 and 68807 is 4734059214.