Least Common Multiple of 10060 and 10065

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 10065 the smallest integer that is 20250780 that is divisible by both numbers.

Least Common Multiple (LCM) of 10060 and 10065 is 20250780.

LCM(10060,10065) = 20250780

LCM of 10060 and 10065

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

LCM of:
and

Least Common Multiple of 10060 and 10065

LCM of 10060 and 10065 is 20250780

Least common multiple can be found by multiplying the highest exponent prime factors of 10060 and 10065. First we will calculate the prime factors of 10060 and 10065.

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 10065


3 10065
5 3355
11 671
61 61
1

Prime factors of 10065 are 3, 5, 11,61. Prime factorization of 10065 in exponential form is:

10065 = 31×51×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 10060 and 10065.

LCM(10060,10065) = 22×31×51×111×611×5031
LCM(10060,10065) = 20250780

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 10065

List of positive integer factors of 10065 that divides 10065 without a remainder.

1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065

Least Common Multiple of 10060 and 10065 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 10065, than apply into the LCM equation.

GCF(10060,10065) = 5
LCM(10060,10065) = ( 10060 × 10065) / 5
LCM(10060,10065) = 101253900 / 5
LCM(10060,10065) = 20250780

Properties of LCM 10060 and 10065

(i) The LCM of 10065 and 10060 is associative

LCM of 10060 and 10065 = LCM of 10065 and 10060

Related Least Common Multiples of 10060

Related Least Common Multiples of 10065

Frequently Asked Questions on LCM of 10060 and 10065

1. What is the LCM of 10060 and 10065?

Answer: LCM of 10060 and 10065 is 20250780.

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 10065?

Answer: Factors of 10065 are 1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065. There are 16 integers that are factors of 10065. The greatest factor of 10065 is 10065.

4. How to Find the LCM of 10060 and 10065?

Answer:

Least Common Multiple of 10060 and 10065 = 20250780

Step 1: Find the prime factorization of 10060

10060 = 2 x 2 x 5 x 503

Step 2: Find the prime factorization of 10065

10065 = 3 x 5 x 11 x 61

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

LCM = 20250780 = 2 x 2 x 3 x 5 x 11 x 61 x 503

Step 4: Therefore, the least common multiple of 10060 and 10065 is 20250780.