Least Common Multiple of 64408 and 64415

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

• Least Common Multiple of 64408 and 64415 by Prime method
• Least Common Multiple of 64408 and 64415 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 64408 and 64415. First we will calculate the prime factors of 64408 and 64415.

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 64415

Prime factors of 64415 are 5, 13,991. Prime factorization of 64415 in exponential form is:

64415 = 5¹×13¹×991¹

Now multiplying the highest exponent prime factors to calculate the LCM of 64408 and 64415.

LCM(64408,64415) = 2³×5¹×13¹×83¹×97¹×991¹
LCM(64408,64415) = 4148841320

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 64415

List of positive integer factors of 64415 that divides 64415 without a remainder.

1, 5, 13, 65, 991, 4955, 12883, 64415

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64408 and 64415, than apply into the LCM equation.

GCF(64408,64415) = 1
LCM(64408,64415) = ( 64408 × 64415) / 1
LCM(64408,64415) = 4148841320 / 1
LCM(64408,64415) = 4148841320

(i) The LCM of 64415 and 64408 is associative

LCM of 64408 and 64415 = LCM of 64415 and 64408

1. What is the LCM of 64408 and 64415?

Answer: LCM of 64408 and 64415 is 4148841320.

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 64415?

Answer: Factors of 64415 are 1, 5, 13, 65, 991, 4955, 12883, 64415. There are 8 integers that are factors of 64415. The greatest factor of 64415 is 64415.

4. How to Find the LCM of 64408 and 64415?

Answer:

Least Common Multiple of 64408 and 64415 = 4148841320

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 64415

64415 = 5 x 13 x 991

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

LCM = 4148841320 = 2 x 2 x 2 x 5 x 13 x 83 x 97 x 991

Step 4: Therefore, the least common multiple of 64408 and 64415 is 4148841320.