Least Common Multiple of 10060 and 10067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10060 and 10067 the smallest integer that is 101274020 that is divisible by both numbers.

Least Common Multiple (LCM) of 10060 and 10067 is 101274020.

LCM(10060,10067) = 101274020

LCM of 10060 and 10067

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

LCM of:
and

Least Common Multiple of 10060 and 10067

LCM of 10060 and 10067 is 101274020

Least common multiple can be found by multiplying the highest exponent prime factors of 10060 and 10067. First we will calculate the prime factors of 10060 and 10067.

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

Prime Factorization of 10067


10067 10067
1

Prime factors of 10067 are 10067. Prime factorization of 10067 in exponential form is:

10067 = 100671

Now multiplying the highest exponent prime factors to calculate the LCM of 10060 and 10067.

LCM(10060,10067) = 22×51×5031×100671
LCM(10060,10067) = 101274020

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

Factors of 10067

List of positive integer factors of 10067 that divides 10067 without a remainder.

1, 10067

Least Common Multiple of 10060 and 10067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10060 and 10067, than apply into the LCM equation.

GCF(10060,10067) = 1
LCM(10060,10067) = ( 10060 × 10067) / 1
LCM(10060,10067) = 101274020 / 1
LCM(10060,10067) = 101274020

Properties of LCM 10060 and 10067

(i) The LCM of 10067 and 10060 is associative

LCM of 10060 and 10067 = LCM of 10067 and 10060

Related Least Common Multiples of 10060

Related Least Common Multiples of 10067

Frequently Asked Questions on LCM of 10060 and 10067

1. What is the LCM of 10060 and 10067?

Answer: LCM of 10060 and 10067 is 101274020.

2. 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.

3. What are the Factors of 10067?

Answer: Factors of 10067 are 1, 10067. There are 2 integers that are factors of 10067. The greatest factor of 10067 is 10067.

4. How to Find the LCM of 10060 and 10067?

Answer:

Least Common Multiple of 10060 and 10067 = 101274020

Step 1: Find the prime factorization of 10060

10060 = 2 x 2 x 5 x 503

Step 2: Find the prime factorization of 10067

10067 = 10067

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

LCM = 101274020 = 2 x 2 x 5 x 503 x 10067

Step 4: Therefore, the least common multiple of 10060 and 10067 is 101274020.