Least Common Multiple of 10056 and 10061

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 10061 the smallest integer that is 101173416 that is divisible by both numbers.

Least Common Multiple (LCM) of 10056 and 10061 is 101173416.

LCM(10056,10061) = 101173416

LCM of 10056 and 10061

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

LCM of:
and

Least Common Multiple of 10056 and 10061

LCM of 10056 and 10061 is 101173416

Least common multiple can be found by multiplying the highest exponent prime factors of 10056 and 10061. First we will calculate the prime factors of 10056 and 10061.

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 10061


10061 10061
1

Prime factors of 10061 are 10061. Prime factorization of 10061 in exponential form is:

10061 = 100611

Now multiplying the highest exponent prime factors to calculate the LCM of 10056 and 10061.

LCM(10056,10061) = 23×31×4191×100611
LCM(10056,10061) = 101173416

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 10061

List of positive integer factors of 10061 that divides 10061 without a remainder.

1, 10061

Least Common Multiple of 10056 and 10061 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 10061, than apply into the LCM equation.

GCF(10056,10061) = 1
LCM(10056,10061) = ( 10056 × 10061) / 1
LCM(10056,10061) = 101173416 / 1
LCM(10056,10061) = 101173416

Properties of LCM 10056 and 10061

(i) The LCM of 10061 and 10056 is associative

LCM of 10056 and 10061 = LCM of 10061 and 10056

Related Least Common Multiples of 10056

Related Least Common Multiples of 10061

Frequently Asked Questions on LCM of 10056 and 10061

1. What is the LCM of 10056 and 10061?

Answer: LCM of 10056 and 10061 is 101173416.

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 10061?

Answer: Factors of 10061 are 1, 10061. There are 2 integers that are factors of 10061. The greatest factor of 10061 is 10061.

4. How to Find the LCM of 10056 and 10061?

Answer:

Least Common Multiple of 10056 and 10061 = 101173416

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 10061

10061 = 10061

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

LCM = 101173416 = 2 x 2 x 2 x 3 x 419 x 10061

Step 4: Therefore, the least common multiple of 10056 and 10061 is 101173416.