Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10058 and 10066 the smallest integer that is 50621914 that is divisible by both numbers.
Least Common Multiple (LCM) of 10058 and 10066 is 50621914.
LCM(10058,10066) = 50621914
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 10058 and 10066. First we will calculate the prime factors of 10058 and 10066.
Prime Factorization of 10058
2 | 10058 |
47 | 5029 |
107 | 107 |
1 |
Prime factors of 10058 are 2, 47,107. Prime factorization of 10058 in exponential form is:
10058 = 21×471×1071
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 10058 and 10066.
LCM(10058,10066) = 21×71×471×1071×7191
LCM(10058,10066) = 50621914
Factors of 10058
List of positive integer factors of 10058 that divides 10058 without a remainder.
1, 2, 47, 94, 107, 214, 5029, 10058
Factors of 10066
List of positive integer factors of 10066 that divides 10066 without a remainder.
1, 2, 7, 14, 719, 1438, 5033, 10066
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10058 and 10066, than apply into the LCM equation.
GCF(10058,10066) = 2
LCM(10058,10066) = ( 10058 × 10066) / 2
LCM(10058,10066) = 101243828 / 2
LCM(10058,10066) = 50621914
(i) The LCM of 10066 and 10058 is associative
LCM of 10058 and 10066 = LCM of 10066 and 10058
1. What is the LCM of 10058 and 10066?
Answer: LCM of 10058 and 10066 is 50621914.
2. What are the Factors of 10058?
Answer: Factors of 10058 are 1, 2, 47, 94, 107, 214, 5029, 10058. There are 8 integers that are factors of 10058. The greatest factor of 10058 is 10058.
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 10058 and 10066?
Answer:
Least Common Multiple of 10058 and 10066 = 50621914
Step 1: Find the prime factorization of 10058
10058 = 2 x 47 x 107
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 = 50621914 = 2 x 7 x 47 x 107 x 719
Step 4: Therefore, the least common multiple of 10058 and 10066 is 50621914.