Least Common Multiple of 10062 and 10066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10062 and 10066 the smallest integer that is 50642046 that is divisible by both numbers.

Least Common Multiple (LCM) of 10062 and 10066 is 50642046.

LCM(10062,10066) = 50642046

LCM of 10062 and 10066

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

LCM of:
and

Least Common Multiple of 10062 and 10066

LCM of 10062 and 10066 is 50642046

Least common multiple can be found by multiplying the highest exponent prime factors of 10062 and 10066. First we will calculate the prime factors of 10062 and 10066.

Prime Factorization of 10062


2 10062
3 5031
3 1677
13 559
43 43
1

Prime factors of 10062 are 2, 3, 13,43. Prime factorization of 10062 in exponential form is:

10062 = 21×32×131×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10062 and 10066.

LCM(10062,10066) = 21×32×71×131×431×7191
LCM(10062,10066) = 50642046

Factors of 10062

List of positive integer factors of 10062 that divides 10062 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062

Factors of 10066

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

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

Least Common Multiple of 10062 and 10066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10062 and 10066, than apply into the LCM equation.

GCF(10062,10066) = 2
LCM(10062,10066) = ( 10062 × 10066) / 2
LCM(10062,10066) = 101284092 / 2
LCM(10062,10066) = 50642046

Properties of LCM 10062 and 10066

(i) The LCM of 10066 and 10062 is associative

LCM of 10062 and 10066 = LCM of 10066 and 10062

Related Least Common Multiples of 10062

Related Least Common Multiples of 10066

Frequently Asked Questions on LCM of 10062 and 10066

1. What is the LCM of 10062 and 10066?

Answer: LCM of 10062 and 10066 is 50642046.

2. What are the Factors of 10062?

Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.

3. 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.

4. How to Find the LCM of 10062 and 10066?

Answer:

Least Common Multiple of 10062 and 10066 = 50642046

Step 1: Find the prime factorization of 10062

10062 = 2 x 3 x 3 x 13 x 43

Step 2: Find the prime factorization of 10066

10066 = 2 x 7 x 719

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

LCM = 50642046 = 2 x 3 x 3 x 7 x 13 x 43 x 719

Step 4: Therefore, the least common multiple of 10062 and 10066 is 50642046.