Least Common Multiple of 10056 and 10063

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 10063 the smallest integer that is 101193528 that is divisible by both numbers.

Least Common Multiple (LCM) of 10056 and 10063 is 101193528.

LCM(10056,10063) = 101193528

LCM of 10056 and 10063

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

LCM of:
and

Least Common Multiple of 10056 and 10063

LCM of 10056 and 10063 is 101193528

Least common multiple can be found by multiplying the highest exponent prime factors of 10056 and 10063. First we will calculate the prime factors of 10056 and 10063.

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 10063


29 10063
347 347
1

Prime factors of 10063 are 29,347. Prime factorization of 10063 in exponential form is:

10063 = 291×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 10056 and 10063.

LCM(10056,10063) = 23×31×291×3471×4191
LCM(10056,10063) = 101193528

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 10063

List of positive integer factors of 10063 that divides 10063 without a remainder.

1, 29, 347, 10063

Least Common Multiple of 10056 and 10063 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 10063, than apply into the LCM equation.

GCF(10056,10063) = 1
LCM(10056,10063) = ( 10056 × 10063) / 1
LCM(10056,10063) = 101193528 / 1
LCM(10056,10063) = 101193528

Properties of LCM 10056 and 10063

(i) The LCM of 10063 and 10056 is associative

LCM of 10056 and 10063 = LCM of 10063 and 10056

Related Least Common Multiples of 10056

Related Least Common Multiples of 10063

Frequently Asked Questions on LCM of 10056 and 10063

1. What is the LCM of 10056 and 10063?

Answer: LCM of 10056 and 10063 is 101193528.

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 10063?

Answer: Factors of 10063 are 1, 29, 347, 10063. There are 4 integers that are factors of 10063. The greatest factor of 10063 is 10063.

4. How to Find the LCM of 10056 and 10063?

Answer:

Least Common Multiple of 10056 and 10063 = 101193528

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 10063

10063 = 29 x 347

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

LCM = 101193528 = 2 x 2 x 2 x 3 x 29 x 347 x 419

Step 4: Therefore, the least common multiple of 10056 and 10063 is 101193528.