Least Common Multiple of 10064 and 10070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10064 and 10070 the smallest integer that is 50672240 that is divisible by both numbers.

Least Common Multiple (LCM) of 10064 and 10070 is 50672240.

LCM(10064,10070) = 50672240

LCM of 10064 and 10070

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

LCM of:
and

Least Common Multiple of 10064 and 10070

LCM of 10064 and 10070 is 50672240

Least common multiple can be found by multiplying the highest exponent prime factors of 10064 and 10070. First we will calculate the prime factors of 10064 and 10070.

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

Prime Factorization of 10070


2 10070
5 5035
19 1007
53 53
1

Prime factors of 10070 are 2, 5, 19,53. Prime factorization of 10070 in exponential form is:

10070 = 21×51×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 10064 and 10070.

LCM(10064,10070) = 24×51×171×191×371×531
LCM(10064,10070) = 50672240

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

Factors of 10070

List of positive integer factors of 10070 that divides 10070 without a remainder.

1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070

Least Common Multiple of 10064 and 10070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10064 and 10070, than apply into the LCM equation.

GCF(10064,10070) = 2
LCM(10064,10070) = ( 10064 × 10070) / 2
LCM(10064,10070) = 101344480 / 2
LCM(10064,10070) = 50672240

Properties of LCM 10064 and 10070

(i) The LCM of 10070 and 10064 is associative

LCM of 10064 and 10070 = LCM of 10070 and 10064

Related Least Common Multiples of 10064

Related Least Common Multiples of 10070

Frequently Asked Questions on LCM of 10064 and 10070

1. What is the LCM of 10064 and 10070?

Answer: LCM of 10064 and 10070 is 50672240.

2. 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.

3. What are the Factors of 10070?

Answer: Factors of 10070 are 1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070. There are 16 integers that are factors of 10070. The greatest factor of 10070 is 10070.

4. How to Find the LCM of 10064 and 10070?

Answer:

Least Common Multiple of 10064 and 10070 = 50672240

Step 1: Find the prime factorization of 10064

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

Step 2: Find the prime factorization of 10070

10070 = 2 x 5 x 19 x 53

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

LCM = 50672240 = 2 x 2 x 2 x 2 x 5 x 17 x 19 x 37 x 53

Step 4: Therefore, the least common multiple of 10064 and 10070 is 50672240.