Least Common Multiple of 64408 and 64411

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

• Least Common Multiple of 64408 and 64411 by Prime method
• Least Common Multiple of 64408 and 64411 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 64408 and 64411. First we will calculate the prime factors of 64408 and 64411.

Prime Factorization of 64408

Prime factors of 64408 are 2, 83,97. Prime factorization of 64408 in exponential form is:

64408 = 2³×83¹×97¹

Prime Factorization of 64411

Prime factors of 64411 are 41,1571. Prime factorization of 64411 in exponential form is:

64411 = 41¹×1571¹

Now multiplying the highest exponent prime factors to calculate the LCM of 64408 and 64411.

LCM(64408,64411) = 2³×41¹×83¹×97¹×1571¹
LCM(64408,64411) = 4148583688

Factors of 64408

List of positive integer factors of 64408 that divides 64408 without a remainder.

1, 2, 4, 8, 83, 97, 166, 194, 332, 388, 664, 776, 8051, 16102, 32204, 64408

Factors of 64411

List of positive integer factors of 64411 that divides 64411 without a remainder.

1, 41, 1571, 64411

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64408 and 64411, than apply into the LCM equation.

GCF(64408,64411) = 1
LCM(64408,64411) = ( 64408 × 64411) / 1
LCM(64408,64411) = 4148583688 / 1
LCM(64408,64411) = 4148583688

(i) The LCM of 64411 and 64408 is associative

LCM of 64408 and 64411 = LCM of 64411 and 64408

1. What is the LCM of 64408 and 64411?

Answer: LCM of 64408 and 64411 is 4148583688.

2. What are the Factors of 64408?

Answer: Factors of 64408 are 1, 2, 4, 8, 83, 97, 166, 194, 332, 388, 664, 776, 8051, 16102, 32204, 64408. There are 16 integers that are factors of 64408. The greatest factor of 64408 is 64408.

3. What are the Factors of 64411?

Answer: Factors of 64411 are 1, 41, 1571, 64411. There are 4 integers that are factors of 64411. The greatest factor of 64411 is 64411.

4. How to Find the LCM of 64408 and 64411?

Answer:

Least Common Multiple of 64408 and 64411 = 4148583688

Step 1: Find the prime factorization of 64408

64408 = 2 x 2 x 2 x 83 x 97

Step 2: Find the prime factorization of 64411

64411 = 41 x 1571

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

LCM = 4148583688 = 2 x 2 x 2 x 41 x 83 x 97 x 1571

Step 4: Therefore, the least common multiple of 64408 and 64411 is 4148583688.