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 10064 the smallest integer that is 50611856 that is divisible by both numbers.
Least Common Multiple (LCM) of 10058 and 10064 is 50611856.
LCM(10058,10064) = 50611856
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 10064. First we will calculate the prime factors of 10058 and 10064.
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 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 10058 and 10064.
LCM(10058,10064) = 24×171×371×471×1071
LCM(10058,10064) = 50611856
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 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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10058 and 10064, than apply into the LCM equation.
GCF(10058,10064) = 2
LCM(10058,10064) = ( 10058 × 10064) / 2
LCM(10058,10064) = 101223712 / 2
LCM(10058,10064) = 50611856
(i) The LCM of 10064 and 10058 is associative
LCM of 10058 and 10064 = LCM of 10064 and 10058
1. What is the LCM of 10058 and 10064?
Answer: LCM of 10058 and 10064 is 50611856.
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 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 10058 and 10064?
Answer:
Least Common Multiple of 10058 and 10064 = 50611856
Step 1: Find the prime factorization of 10058
10058 = 2 x 47 x 107
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 = 50611856 = 2 x 2 x 2 x 2 x 17 x 37 x 47 x 107
Step 4: Therefore, the least common multiple of 10058 and 10064 is 50611856.