Least Common Multiple of 10064 and 10071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10064 and 10071 the smallest integer that is 101354544 that is divisible by both numbers.

Least Common Multiple (LCM) of 10064 and 10071 is 101354544.

LCM(10064,10071) = 101354544

LCM of 10064 and 10071

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

LCM of:
and

Least Common Multiple of 10064 and 10071

LCM of 10064 and 10071 is 101354544

Least common multiple can be found by multiplying the highest exponent prime factors of 10064 and 10071. First we will calculate the prime factors of 10064 and 10071.

Prime Factorization of 10064


2 10064
2 5032
2 2516
2 1258
17 629
37 37
1

Prime factors of 10064 are 2, 17,37. Prime factorization of 10064 in exponential form is:

10064 = 24×171×371

Prime Factorization of 10071


3 10071
3 3357
3 1119
373 373
1

Prime factors of 10071 are 3,373. Prime factorization of 10071 in exponential form is:

10071 = 33×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 10064 and 10071.

LCM(10064,10071) = 24×33×171×371×3731
LCM(10064,10071) = 101354544

Factors of 10064

List of positive integer factors of 10064 that divides 10064 without a remainder.

1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032, 10064

Factors of 10071

List of positive integer factors of 10071 that divides 10071 without a remainder.

1, 3, 9, 27, 373, 1119, 3357, 10071

Least Common Multiple of 10064 and 10071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10064 and 10071, than apply into the LCM equation.

GCF(10064,10071) = 1
LCM(10064,10071) = ( 10064 × 10071) / 1
LCM(10064,10071) = 101354544 / 1
LCM(10064,10071) = 101354544

Properties of LCM 10064 and 10071

(i) The LCM of 10071 and 10064 is associative

LCM of 10064 and 10071 = LCM of 10071 and 10064

Related Least Common Multiples of 10064

Related Least Common Multiples of 10071

Frequently Asked Questions on LCM of 10064 and 10071

1. What is the LCM of 10064 and 10071?

Answer: LCM of 10064 and 10071 is 101354544.

2. What are the Factors of 10064?

Answer: Factors of 10064 are 1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032, 10064. There are 20 integers that are factors of 10064. The greatest factor of 10064 is 10064.

3. What are the Factors of 10071?

Answer: Factors of 10071 are 1, 3, 9, 27, 373, 1119, 3357, 10071. There are 8 integers that are factors of 10071. The greatest factor of 10071 is 10071.

4. How to Find the LCM of 10064 and 10071?

Answer:

Least Common Multiple of 10064 and 10071 = 101354544

Step 1: Find the prime factorization of 10064

10064 = 2 x 2 x 2 x 2 x 17 x 37

Step 2: Find the prime factorization of 10071

10071 = 3 x 3 x 3 x 373

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

LCM = 101354544 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 37 x 373

Step 4: Therefore, the least common multiple of 10064 and 10071 is 101354544.