Least Common Multiple of 73 and 77

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

• Least Common Multiple of 73 and 77 by Prime method
• Least Common Multiple of 73 and 77 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 73 and 77. First we will calculate the prime factors of 73 and 77.

Prime Factorization of 73

Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:

73 = 73¹

Prime Factorization of 77

Prime factors of 77 are 7,11. Prime factorization of 77 in exponential form is:

77 = 7¹×11¹

Now multiplying the highest exponent prime factors to calculate the LCM of 73 and 77.

LCM(73,77) = 7¹×11¹×73¹
LCM(73,77) = 5621

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1, 73

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1, 7, 11, 77

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73 and 77, than apply into the LCM equation.

GCF(73,77) = 1
LCM(73,77) = ( 73 × 77) / 1
LCM(73,77) = 5621 / 1
LCM(73,77) = 5621

(i) The LCM of 77 and 73 is associative

LCM of 73 and 77 = LCM of 77 and 73

1. What is the LCM of 73 and 77?

Answer: LCM of 73 and 77 is 5621.

2. What are the Factors of 73?

Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.

3. What are the Factors of 77?

Answer: Factors of 77 are 1, 7, 11, 77. There are 4 integers that are factors of 77. The greatest factor of 77 is 77.

4. How to Find the LCM of 73 and 77?

Answer:

Least Common Multiple of 73 and 77 = 5621

Step 1: Find the prime factorization of 73

73 = 73

Step 2: Find the prime factorization of 77

77 = 7 x 11

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

LCM = 5621 = 7 x 11 x 73

Step 4: Therefore, the least common multiple of 73 and 77 is 5621.