Least Common Multiple of 10056 and 10058

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 10058 the smallest integer that is 50571624 that is divisible by both numbers.

Least Common Multiple (LCM) of 10056 and 10058 is 50571624.

LCM(10056,10058) = 50571624

LCM of 10056 and 10058

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

LCM of:
and

Least Common Multiple of 10056 and 10058

LCM of 10056 and 10058 is 50571624

Least common multiple can be found by multiplying the highest exponent prime factors of 10056 and 10058. First we will calculate the prime factors of 10056 and 10058.

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 10058


2 10058
47 5029
107 107
1

Prime factors of 10058 are 2, 47,107. Prime factorization of 10058 in exponential form is:

10058 = 21×471×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 10056 and 10058.

LCM(10056,10058) = 23×31×471×1071×4191
LCM(10056,10058) = 50571624

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 10058

List of positive integer factors of 10058 that divides 10058 without a remainder.

1, 2, 47, 94, 107, 214, 5029, 10058

Least Common Multiple of 10056 and 10058 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 10058, than apply into the LCM equation.

GCF(10056,10058) = 2
LCM(10056,10058) = ( 10056 × 10058) / 2
LCM(10056,10058) = 101143248 / 2
LCM(10056,10058) = 50571624

Properties of LCM 10056 and 10058

(i) The LCM of 10058 and 10056 is associative

LCM of 10056 and 10058 = LCM of 10058 and 10056

Related Least Common Multiples of 10056

Related Least Common Multiples of 10058

Frequently Asked Questions on LCM of 10056 and 10058

1. What is the LCM of 10056 and 10058?

Answer: LCM of 10056 and 10058 is 50571624.

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 10058?

Answer: Factors of 10058 are 1, 2, 47, 94, 107, 214, 5029, 10058. There are 8 integers that are factors of 10058. The greatest factor of 10058 is 10058.

4. How to Find the LCM of 10056 and 10058?

Answer:

Least Common Multiple of 10056 and 10058 = 50571624

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 10058

10058 = 2 x 47 x 107

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

LCM = 50571624 = 2 x 2 x 2 x 3 x 47 x 107 x 419

Step 4: Therefore, the least common multiple of 10056 and 10058 is 50571624.