Least Common Multiple of 10066 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 10066 and 10070 the smallest integer that is 50682310 that is divisible by both numbers.

Least Common Multiple (LCM) of 10066 and 10070 is 50682310.

LCM(10066,10070) = 50682310

LCM of 10066 and 10070

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

LCM of:
and

Least Common Multiple of 10066 and 10070

LCM of 10066 and 10070 is 50682310

Least common multiple can be found by multiplying the highest exponent prime factors of 10066 and 10070. First we will calculate the prime factors of 10066 and 10070.

Prime Factorization of 10066


2 10066
7 5033
719 719
1

Prime factors of 10066 are 2, 7,719. Prime factorization of 10066 in exponential form is:

10066 = 21×71×7191

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 10066 and 10070.

LCM(10066,10070) = 21×51×71×191×531×7191
LCM(10066,10070) = 50682310

Factors of 10066

List of positive integer factors of 10066 that divides 10066 without a remainder.

1, 2, 7, 14, 719, 1438, 5033, 10066

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 10066 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 10066 and 10070, than apply into the LCM equation.

GCF(10066,10070) = 2
LCM(10066,10070) = ( 10066 × 10070) / 2
LCM(10066,10070) = 101364620 / 2
LCM(10066,10070) = 50682310

Properties of LCM 10066 and 10070

(i) The LCM of 10070 and 10066 is associative

LCM of 10066 and 10070 = LCM of 10070 and 10066

Related Least Common Multiples of 10066

Related Least Common Multiples of 10070

Frequently Asked Questions on LCM of 10066 and 10070

1. What is the LCM of 10066 and 10070?

Answer: LCM of 10066 and 10070 is 50682310.

2. What are the Factors of 10066?

Answer: Factors of 10066 are 1, 2, 7, 14, 719, 1438, 5033, 10066. There are 8 integers that are factors of 10066. The greatest factor of 10066 is 10066.

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 10066 and 10070?

Answer:

Least Common Multiple of 10066 and 10070 = 50682310

Step 1: Find the prime factorization of 10066

10066 = 2 x 7 x 719

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 = 50682310 = 2 x 5 x 7 x 19 x 53 x 719

Step 4: Therefore, the least common multiple of 10066 and 10070 is 50682310.