Least Common Multiple of 73 and 79

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

• Least Common Multiple of 73 and 79 by Prime method
• Least Common Multiple of 73 and 79 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 73 and 79. First we will calculate the prime factors of 73 and 79.

Prime Factorization of 73

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

73 = 73¹

Prime Factorization of 79

Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:

79 = 79¹

Now multiplying the highest exponent prime factors to calculate the LCM of 73 and 79.

LCM(73,79) = 73¹×79¹
LCM(73,79) = 5767

Factors of 73

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

1, 73

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1, 79

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73 and 79, than apply into the LCM equation.

GCF(73,79) = 1
LCM(73,79) = ( 73 × 79) / 1
LCM(73,79) = 5767 / 1
LCM(73,79) = 5767

(i) The LCM of 79 and 73 is associative

LCM of 73 and 79 = LCM of 79 and 73

1. What is the LCM of 73 and 79?

Answer: LCM of 73 and 79 is 5767.

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 79?

Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.

4. How to Find the LCM of 73 and 79?

Answer:

Least Common Multiple of 73 and 79 = 5767

Step 1: Find the prime factorization of 73

73 = 73

Step 2: Find the prime factorization of 79

79 = 79

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

LCM = 5767 = 73 x 79

Step 4: Therefore, the least common multiple of 73 and 79 is 5767.