Least Common Multiple of 73409 and 73414

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

• Least Common Multiple of 73409 and 73414 by Prime method
• Least Common Multiple of 73409 and 73414 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 73409 and 73414. First we will calculate the prime factors of 73409 and 73414.

Prime Factorization of 73409

Prime factors of 73409 are 7,10487. Prime factorization of 73409 in exponential form is:

73409 = 7¹×10487¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 73409 and 73414.

LCM(73409,73414) = 2¹×7¹×11¹×47¹×71¹×10487¹
LCM(73409,73414) = 5389248326

Factors of 73409

List of positive integer factors of 73409 that divides 73409 without a remainder.

1, 7, 10487, 73409

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73409 and 73414, than apply into the LCM equation.

GCF(73409,73414) = 1
LCM(73409,73414) = ( 73409 × 73414) / 1
LCM(73409,73414) = 5389248326 / 1
LCM(73409,73414) = 5389248326

(i) The LCM of 73414 and 73409 is associative

LCM of 73409 and 73414 = LCM of 73414 and 73409

1. What is the LCM of 73409 and 73414?

Answer: LCM of 73409 and 73414 is 5389248326.

2. What are the Factors of 73409?

Answer: Factors of 73409 are 1, 7, 10487, 73409. There are 4 integers that are factors of 73409. The greatest factor of 73409 is 73409.

3. 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.

4. How to Find the LCM of 73409 and 73414?

Answer:

Least Common Multiple of 73409 and 73414 = 5389248326

Step 1: Find the prime factorization of 73409

73409 = 7 x 10487

Step 2: Find the prime factorization of 73414

73414 = 2 x 11 x 47 x 71

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

LCM = 5389248326 = 2 x 7 x 11 x 47 x 71 x 10487

Step 4: Therefore, the least common multiple of 73409 and 73414 is 5389248326.