Least Common Multiple of 68766 and 68771

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

• Least Common Multiple of 68766 and 68771 by Prime method
• Least Common Multiple of 68766 and 68771 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68766 and 68771. First we will calculate the prime factors of 68766 and 68771.

Prime Factorization of 68766

Prime factors of 68766 are 2, 3, 73,157. Prime factorization of 68766 in exponential form is:

68766 = 2¹×3¹×73¹×157¹

Prime Factorization of 68771

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

68771 = 68771¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68766 and 68771.

LCM(68766,68771) = 2¹×3¹×73¹×157¹×68771¹
LCM(68766,68771) = 4729106586

Factors of 68766

List of positive integer factors of 68766 that divides 68766 without a remainder.

1, 2, 3, 6, 73, 146, 157, 219, 314, 438, 471, 942, 11461, 22922, 34383, 68766

Factors of 68771

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

1, 68771

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68766 and 68771, than apply into the LCM equation.

GCF(68766,68771) = 1
LCM(68766,68771) = ( 68766 × 68771) / 1
LCM(68766,68771) = 4729106586 / 1
LCM(68766,68771) = 4729106586

(i) The LCM of 68771 and 68766 is associative

LCM of 68766 and 68771 = LCM of 68771 and 68766

1. What is the LCM of 68766 and 68771?

Answer: LCM of 68766 and 68771 is 4729106586.

2. What are the Factors of 68766?

Answer: Factors of 68766 are 1, 2, 3, 6, 73, 146, 157, 219, 314, 438, 471, 942, 11461, 22922, 34383, 68766. There are 16 integers that are factors of 68766. The greatest factor of 68766 is 68766.

3. 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.

4. How to Find the LCM of 68766 and 68771?

Answer:

Least Common Multiple of 68766 and 68771 = 4729106586

Step 1: Find the prime factorization of 68766

68766 = 2 x 3 x 73 x 157

Step 2: Find the prime factorization of 68771

68771 = 68771

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

LCM = 4729106586 = 2 x 3 x 73 x 157 x 68771

Step 4: Therefore, the least common multiple of 68766 and 68771 is 4729106586.