Least Common Multiple of 68778 and 68785

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

• Least Common Multiple of 68778 and 68785 by Prime method
• Least Common Multiple of 68778 and 68785 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68778 and 68785. First we will calculate the prime factors of 68778 and 68785.

Prime Factorization of 68778

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

68778 = 2¹×3²×3821¹

Prime Factorization of 68785

Prime factors of 68785 are 5,13757. Prime factorization of 68785 in exponential form is:

68785 = 5¹×13757¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68778 and 68785.

LCM(68778,68785) = 2¹×3²×5¹×3821¹×13757¹
LCM(68778,68785) = 4730894730

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

Factors of 68785

List of positive integer factors of 68785 that divides 68785 without a remainder.

1, 5, 13757, 68785

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68778 and 68785, than apply into the LCM equation.

GCF(68778,68785) = 1
LCM(68778,68785) = ( 68778 × 68785) / 1
LCM(68778,68785) = 4730894730 / 1
LCM(68778,68785) = 4730894730

(i) The LCM of 68785 and 68778 is associative

LCM of 68778 and 68785 = LCM of 68785 and 68778

1. What is the LCM of 68778 and 68785?

Answer: LCM of 68778 and 68785 is 4730894730.

2. 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.

3. What are the Factors of 68785?

Answer: Factors of 68785 are 1, 5, 13757, 68785. There are 4 integers that are factors of 68785. The greatest factor of 68785 is 68785.

4. How to Find the LCM of 68778 and 68785?

Answer:

Least Common Multiple of 68778 and 68785 = 4730894730

Step 1: Find the prime factorization of 68778

68778 = 2 x 3 x 3 x 3821

Step 2: Find the prime factorization of 68785

68785 = 5 x 13757

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

LCM = 4730894730 = 2 x 3 x 3 x 5 x 3821 x 13757

Step 4: Therefore, the least common multiple of 68778 and 68785 is 4730894730.