Least Common Multiple of 73 and 74

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

• Least Common Multiple of 73 and 74 by Prime method
• Least Common Multiple of 73 and 74 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 73 and 74. First we will calculate the prime factors of 73 and 74.

Prime Factorization of 73

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

73 = 73¹

Prime Factorization of 74

Prime factors of 74 are 2,37. Prime factorization of 74 in exponential form is:

74 = 2¹×37¹

Now multiplying the highest exponent prime factors to calculate the LCM of 73 and 74.

LCM(73,74) = 2¹×37¹×73¹
LCM(73,74) = 5402

Factors of 73

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

1, 73

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1, 2, 37, 74

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73 and 74, than apply into the LCM equation.

GCF(73,74) = 1
LCM(73,74) = ( 73 × 74) / 1
LCM(73,74) = 5402 / 1
LCM(73,74) = 5402

(i) The LCM of 74 and 73 is associative

LCM of 73 and 74 = LCM of 74 and 73

1. What is the LCM of 73 and 74?

Answer: LCM of 73 and 74 is 5402.

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 74?

Answer: Factors of 74 are 1, 2, 37, 74. There are 4 integers that are factors of 74. The greatest factor of 74 is 74.

4. How to Find the LCM of 73 and 74?

Answer:

Least Common Multiple of 73 and 74 = 5402

Step 1: Find the prime factorization of 73

73 = 73

Step 2: Find the prime factorization of 74

74 = 2 x 37

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

LCM = 5402 = 2 x 37 x 73

Step 4: Therefore, the least common multiple of 73 and 74 is 5402.