Least Common Multiple of 10056 and 10060

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 10060 the smallest integer that is 25290840 that is divisible by both numbers.

Least Common Multiple (LCM) of 10056 and 10060 is 25290840.

LCM(10056,10060) = 25290840

LCM of 10056 and 10060

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

LCM of:
and

Least Common Multiple of 10056 and 10060

LCM of 10056 and 10060 is 25290840

Least common multiple can be found by multiplying the highest exponent prime factors of 10056 and 10060. First we will calculate the prime factors of 10056 and 10060.

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 10060


2 10060
2 5030
5 2515
503 503
1

Prime factors of 10060 are 2, 5,503. Prime factorization of 10060 in exponential form is:

10060 = 22×51×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 10056 and 10060.

LCM(10056,10060) = 23×31×51×4191×5031
LCM(10056,10060) = 25290840

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 10060

List of positive integer factors of 10060 that divides 10060 without a remainder.

1, 2, 4, 5, 10, 20, 503, 1006, 2012, 2515, 5030, 10060

Least Common Multiple of 10056 and 10060 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 10060, than apply into the LCM equation.

GCF(10056,10060) = 4
LCM(10056,10060) = ( 10056 × 10060) / 4
LCM(10056,10060) = 101163360 / 4
LCM(10056,10060) = 25290840

Properties of LCM 10056 and 10060

(i) The LCM of 10060 and 10056 is associative

LCM of 10056 and 10060 = LCM of 10060 and 10056

Related Least Common Multiples of 10056

Related Least Common Multiples of 10060

Frequently Asked Questions on LCM of 10056 and 10060

1. What is the LCM of 10056 and 10060?

Answer: LCM of 10056 and 10060 is 25290840.

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 10060?

Answer: Factors of 10060 are 1, 2, 4, 5, 10, 20, 503, 1006, 2012, 2515, 5030, 10060. There are 12 integers that are factors of 10060. The greatest factor of 10060 is 10060.

4. How to Find the LCM of 10056 and 10060?

Answer:

Least Common Multiple of 10056 and 10060 = 25290840

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 10060

10060 = 2 x 2 x 5 x 503

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

LCM = 25290840 = 2 x 2 x 2 x 3 x 5 x 419 x 503

Step 4: Therefore, the least common multiple of 10056 and 10060 is 25290840.