Least Common Multiple of 68771 and 68778

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

• Least Common Multiple of 68771 and 68778 by Prime method
• Least Common Multiple of 68771 and 68778 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68771 and 68778. First we will calculate the prime factors of 68771 and 68778.

Prime Factorization of 68771

Prime factors of 68771 are 68771. Prime factorization of 68771 in exponential form is:

68771 = 68771¹

Prime Factorization of 68778

Prime factors of 68778 are 2, 3,3821. Prime factorization of 68778 in exponential form is:

68778 = 2¹×3²×3821¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68771 and 68778.

LCM(68771,68778) = 2¹×3²×3821¹×68771¹
LCM(68771,68778) = 4729931838

Factors of 68771

List of positive integer factors of 68771 that divides 68771 without a remainder.

1, 68771

Factors of 68778

List of positive integer factors of 68778 that divides 68778 without a remainder.

1, 2, 3, 6, 9, 18, 3821, 7642, 11463, 22926, 34389, 68778

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68771 and 68778, than apply into the LCM equation.

GCF(68771,68778) = 1
LCM(68771,68778) = ( 68771 × 68778) / 1
LCM(68771,68778) = 4729931838 / 1
LCM(68771,68778) = 4729931838

(i) The LCM of 68778 and 68771 is associative

LCM of 68771 and 68778 = LCM of 68778 and 68771

1. What is the LCM of 68771 and 68778?

Answer: LCM of 68771 and 68778 is 4729931838.

2. What are the Factors of 68771?

Answer: Factors of 68771 are 1, 68771. There are 2 integers that are factors of 68771. The greatest factor of 68771 is 68771.

3. What are the Factors of 68778?

Answer: Factors of 68778 are 1, 2, 3, 6, 9, 18, 3821, 7642, 11463, 22926, 34389, 68778. There are 12 integers that are factors of 68778. The greatest factor of 68778 is 68778.

4. How to Find the LCM of 68771 and 68778?

Answer:

Least Common Multiple of 68771 and 68778 = 4729931838

Step 1: Find the prime factorization of 68771

68771 = 68771

Step 2: Find the prime factorization of 68778

68778 = 2 x 3 x 3 x 3821

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

LCM = 4729931838 = 2 x 3 x 3 x 3821 x 68771

Step 4: Therefore, the least common multiple of 68771 and 68778 is 4729931838.