Least Common Multiple of 10056 and 10062

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 10062 the smallest integer that is 16863912 that is divisible by both numbers.

Least Common Multiple (LCM) of 10056 and 10062 is 16863912.

LCM(10056,10062) = 16863912

LCM of 10056 and 10062

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

LCM of:
and

Least Common Multiple of 10056 and 10062

LCM of 10056 and 10062 is 16863912

Least common multiple can be found by multiplying the highest exponent prime factors of 10056 and 10062. First we will calculate the prime factors of 10056 and 10062.

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 10062


2 10062
3 5031
3 1677
13 559
43 43
1

Prime factors of 10062 are 2, 3, 13,43. Prime factorization of 10062 in exponential form is:

10062 = 21×32×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 10056 and 10062.

LCM(10056,10062) = 23×32×131×431×4191
LCM(10056,10062) = 16863912

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 10062

List of positive integer factors of 10062 that divides 10062 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062

Least Common Multiple of 10056 and 10062 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 10062, than apply into the LCM equation.

GCF(10056,10062) = 6
LCM(10056,10062) = ( 10056 × 10062) / 6
LCM(10056,10062) = 101183472 / 6
LCM(10056,10062) = 16863912

Properties of LCM 10056 and 10062

(i) The LCM of 10062 and 10056 is associative

LCM of 10056 and 10062 = LCM of 10062 and 10056

Related Least Common Multiples of 10056

Related Least Common Multiples of 10062

Frequently Asked Questions on LCM of 10056 and 10062

1. What is the LCM of 10056 and 10062?

Answer: LCM of 10056 and 10062 is 16863912.

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 10062?

Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.

4. How to Find the LCM of 10056 and 10062?

Answer:

Least Common Multiple of 10056 and 10062 = 16863912

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 10062

10062 = 2 x 3 x 3 x 13 x 43

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

LCM = 16863912 = 2 x 2 x 2 x 3 x 3 x 13 x 43 x 419

Step 4: Therefore, the least common multiple of 10056 and 10062 is 16863912.