Least Common Multiple of 74 and 79

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

• Least Common Multiple of 74 and 79 by Prime method
• Least Common Multiple of 74 and 79 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 74 and 79. First we will calculate the prime factors of 74 and 79.

Prime Factorization of 74

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

74 = 2¹×37¹

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 74 and 79.

LCM(74,79) = 2¹×37¹×79¹
LCM(74,79) = 5846

Factors of 74

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

1, 2, 37, 74

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 74 and 79, than apply into the LCM equation.

GCF(74,79) = 1
LCM(74,79) = ( 74 × 79) / 1
LCM(74,79) = 5846 / 1
LCM(74,79) = 5846

(i) The LCM of 79 and 74 is associative

LCM of 74 and 79 = LCM of 79 and 74

1. What is the LCM of 74 and 79?

Answer: LCM of 74 and 79 is 5846.

2. 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.

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 74 and 79?

Answer:

Least Common Multiple of 74 and 79 = 5846

Step 1: Find the prime factorization of 74

74 = 2 x 37

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 = 5846 = 2 x 37 x 79

Step 4: Therefore, the least common multiple of 74 and 79 is 5846.