Least Common Multiple of 68766 and 68773

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

• Least Common Multiple of 68766 and 68773 by Prime method
• Least Common Multiple of 68766 and 68773 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 68766 and 68773. First we will calculate the prime factors of 68766 and 68773.

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 68773

Prime factors of 68773 are 97,709. Prime factorization of 68773 in exponential form is:

68773 = 97¹×709¹

Now multiplying the highest exponent prime factors to calculate the LCM of 68766 and 68773.

LCM(68766,68773) = 2¹×3¹×73¹×97¹×157¹×709¹
LCM(68766,68773) = 4729244118

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 68773

List of positive integer factors of 68773 that divides 68773 without a remainder.

1, 97, 709, 68773

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68766 and 68773, than apply into the LCM equation.

GCF(68766,68773) = 1
LCM(68766,68773) = ( 68766 × 68773) / 1
LCM(68766,68773) = 4729244118 / 1
LCM(68766,68773) = 4729244118

(i) The LCM of 68773 and 68766 is associative

LCM of 68766 and 68773 = LCM of 68773 and 68766

1. What is the LCM of 68766 and 68773?

Answer: LCM of 68766 and 68773 is 4729244118.

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 68773?

Answer: Factors of 68773 are 1, 97, 709, 68773. There are 4 integers that are factors of 68773. The greatest factor of 68773 is 68773.

4. How to Find the LCM of 68766 and 68773?

Answer:

Least Common Multiple of 68766 and 68773 = 4729244118

Step 1: Find the prime factorization of 68766

68766 = 2 x 3 x 73 x 157

Step 2: Find the prime factorization of 68773

68773 = 97 x 709

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

LCM = 4729244118 = 2 x 3 x 73 x 97 x 157 x 709

Step 4: Therefore, the least common multiple of 68766 and 68773 is 4729244118.