Least Common Multiple of 73414 and 73421

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

• Least Common Multiple of 73414 and 73421 by Prime method
• Least Common Multiple of 73414 and 73421 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 73414 and 73421. First we will calculate the prime factors of 73414 and 73421.

Prime Factorization of 73414

Prime factors of 73414 are 2, 11, 47,71. Prime factorization of 73414 in exponential form is:

73414 = 2¹×11¹×47¹×71¹

Prime Factorization of 73421

Prime factors of 73421 are 73421. Prime factorization of 73421 in exponential form is:

73421 = 73421¹

Now multiplying the highest exponent prime factors to calculate the LCM of 73414 and 73421.

LCM(73414,73421) = 2¹×11¹×47¹×71¹×73421¹
LCM(73414,73421) = 5390129294

Factors of 73414

List of positive integer factors of 73414 that divides 73414 without a remainder.

1, 2, 11, 22, 47, 71, 94, 142, 517, 781, 1034, 1562, 3337, 6674, 36707, 73414

Factors of 73421

List of positive integer factors of 73421 that divides 73421 without a remainder.

1, 73421

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73414 and 73421, than apply into the LCM equation.

GCF(73414,73421) = 1
LCM(73414,73421) = ( 73414 × 73421) / 1
LCM(73414,73421) = 5390129294 / 1
LCM(73414,73421) = 5390129294

(i) The LCM of 73421 and 73414 is associative

LCM of 73414 and 73421 = LCM of 73421 and 73414

1. What is the LCM of 73414 and 73421?

Answer: LCM of 73414 and 73421 is 5390129294.

2. What are the Factors of 73414?

Answer: Factors of 73414 are 1, 2, 11, 22, 47, 71, 94, 142, 517, 781, 1034, 1562, 3337, 6674, 36707, 73414. There are 16 integers that are factors of 73414. The greatest factor of 73414 is 73414.

3. What are the Factors of 73421?

Answer: Factors of 73421 are 1, 73421. There are 2 integers that are factors of 73421. The greatest factor of 73421 is 73421.

4. How to Find the LCM of 73414 and 73421?

Answer:

Least Common Multiple of 73414 and 73421 = 5390129294

Step 1: Find the prime factorization of 73414

73414 = 2 x 11 x 47 x 71

Step 2: Find the prime factorization of 73421

73421 = 73421

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

LCM = 5390129294 = 2 x 11 x 47 x 71 x 73421

Step 4: Therefore, the least common multiple of 73414 and 73421 is 5390129294.