Least Common Multiple of 10056 and 10064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10056 and 10064 the smallest integer that is 12650448 that is divisible by both numbers.

Least Common Multiple (LCM) of 10056 and 10064 is 12650448.

LCM(10056,10064) = 12650448

LCM of 10056 and 10064

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

LCM of:
and

Least Common Multiple of 10056 and 10064

LCM of 10056 and 10064 is 12650448

Least common multiple can be found by multiplying the highest exponent prime factors of 10056 and 10064. First we will calculate the prime factors of 10056 and 10064.

Prime Factorization of 10056


2 10056
2 5028
2 2514
3 1257
419 419
1

Prime factors of 10056 are 2, 3,419. Prime factorization of 10056 in exponential form is:

10056 = 23×31×4191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10056 and 10064.

LCM(10056,10064) = 24×31×171×371×4191
LCM(10056,10064) = 12650448

Factors of 10056

List of positive integer factors of 10056 that divides 10056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 419, 838, 1257, 1676, 2514, 3352, 5028, 10056

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

Least Common Multiple of 10056 and 10064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10056 and 10064, than apply into the LCM equation.

GCF(10056,10064) = 8
LCM(10056,10064) = ( 10056 × 10064) / 8
LCM(10056,10064) = 101203584 / 8
LCM(10056,10064) = 12650448

Properties of LCM 10056 and 10064

(i) The LCM of 10064 and 10056 is associative

LCM of 10056 and 10064 = LCM of 10064 and 10056

Related Least Common Multiples of 10056

Related Least Common Multiples of 10064

Frequently Asked Questions on LCM of 10056 and 10064

1. What is the LCM of 10056 and 10064?

Answer: LCM of 10056 and 10064 is 12650448.

2. What are the Factors of 10056?

Answer: Factors of 10056 are 1, 2, 3, 4, 6, 8, 12, 24, 419, 838, 1257, 1676, 2514, 3352, 5028, 10056. There are 16 integers that are factors of 10056. The greatest factor of 10056 is 10056.

3. 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.

4. How to Find the LCM of 10056 and 10064?

Answer:

Least Common Multiple of 10056 and 10064 = 12650448

Step 1: Find the prime factorization of 10056

10056 = 2 x 2 x 2 x 3 x 419

Step 2: Find the prime factorization of 10064

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

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

LCM = 12650448 = 2 x 2 x 2 x 2 x 3 x 17 x 37 x 419

Step 4: Therefore, the least common multiple of 10056 and 10064 is 12650448.