Least Common Multiple of 10060 and 10064

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 10064 the smallest integer that is 25310960 that is divisible by both numbers.

Least Common Multiple (LCM) of 10060 and 10064 is 25310960.

LCM(10060,10064) = 25310960

LCM of 10060 and 10064

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

LCM of:
and

Least Common Multiple of 10060 and 10064

LCM of 10060 and 10064 is 25310960

Least common multiple can be found by multiplying the highest exponent prime factors of 10060 and 10064. First we will calculate the prime factors of 10060 and 10064.

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 10064


2 10064
2 5032
2 2516
2 1258
17 629
37 37
1

Prime factors of 10064 are 2, 17,37. Prime factorization of 10064 in exponential form is:

10064 = 24×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 10060 and 10064.

LCM(10060,10064) = 24×51×171×371×5031
LCM(10060,10064) = 25310960

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 10064

List of positive integer factors of 10064 that divides 10064 without a remainder.

1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032, 10064

Least Common Multiple of 10060 and 10064 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 10064, than apply into the LCM equation.

GCF(10060,10064) = 4
LCM(10060,10064) = ( 10060 × 10064) / 4
LCM(10060,10064) = 101243840 / 4
LCM(10060,10064) = 25310960

Properties of LCM 10060 and 10064

(i) The LCM of 10064 and 10060 is associative

LCM of 10060 and 10064 = LCM of 10064 and 10060

Related Least Common Multiples of 10060

Related Least Common Multiples of 10064

Frequently Asked Questions on LCM of 10060 and 10064

1. What is the LCM of 10060 and 10064?

Answer: LCM of 10060 and 10064 is 25310960.

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 10064?

Answer: Factors of 10064 are 1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032, 10064. There are 20 integers that are factors of 10064. The greatest factor of 10064 is 10064.

4. How to Find the LCM of 10060 and 10064?

Answer:

Least Common Multiple of 10060 and 10064 = 25310960

Step 1: Find the prime factorization of 10060

10060 = 2 x 2 x 5 x 503

Step 2: Find the prime factorization of 10064

10064 = 2 x 2 x 2 x 2 x 17 x 37

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

LCM = 25310960 = 2 x 2 x 2 x 2 x 5 x 17 x 37 x 503

Step 4: Therefore, the least common multiple of 10060 and 10064 is 25310960.