Least Common Multiple of 68802 and 68809

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

• Least Common Multiple of 68802 and 68809 by Prime method
• Least Common Multiple of 68802 and 68809 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68802 and 68809. First we will calculate the prime factors of 68802 and 68809.

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 68809

Prime factors of 68809 are 13, 67,79. Prime factorization of 68809 in exponential form is:

68809 = 13¹×67¹×79¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68802 and 68809.

LCM(68802,68809) = 2¹×3¹×13¹×67¹×79¹×11467¹
LCM(68802,68809) = 4734196818

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 68809

List of positive integer factors of 68809 that divides 68809 without a remainder.

1, 13, 67, 79, 871, 1027, 5293, 68809

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68802 and 68809, than apply into the LCM equation.

GCF(68802,68809) = 1
LCM(68802,68809) = ( 68802 × 68809) / 1
LCM(68802,68809) = 4734196818 / 1
LCM(68802,68809) = 4734196818

(i) The LCM of 68809 and 68802 is associative

LCM of 68802 and 68809 = LCM of 68809 and 68802

1. What is the LCM of 68802 and 68809?

Answer: LCM of 68802 and 68809 is 4734196818.

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 68809?

Answer: Factors of 68809 are 1, 13, 67, 79, 871, 1027, 5293, 68809. There are 8 integers that are factors of 68809. The greatest factor of 68809 is 68809.

4. How to Find the LCM of 68802 and 68809?

Answer:

Least Common Multiple of 68802 and 68809 = 4734196818

Step 1: Find the prime factorization of 68802

68802 = 2 x 3 x 11467

Step 2: Find the prime factorization of 68809

68809 = 13 x 67 x 79

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

LCM = 4734196818 = 2 x 3 x 13 x 67 x 79 x 11467

Step 4: Therefore, the least common multiple of 68802 and 68809 is 4734196818.