Least Common Multiple of 42059 and 42066
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 42059 and 42066 the smallest integer that is 1769253894 that is divisible by both numbers.
Least Common Multiple (LCM) of 42059 and 42066 is 1769253894.
LCM(42059,42066) = 1769253894
LCM of 42059 and 42066
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 42059 and 42066 by Prime method
- Least Common Multiple of 42059 and 42066 with GCF Formula
LCM of 42059 and 42066 is 1769253894
Least common multiple can be found by multiplying the highest exponent prime factors of 42059 and 42066. First we will calculate the prime factors of 42059 and 42066.
Prime Factorization of 42059
| 137 | 42059 |
| 307 | 307 |
| 1 |
Prime factors of 42059 are 137,307. Prime factorization of 42059 in exponential form is:
42059 = 1371×3071
Prime Factorization of 42066
| 2 | 42066 |
| 3 | 21033 |
| 3 | 7011 |
| 3 | 2337 |
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 42066 are 2, 3, 19,41. Prime factorization of 42066 in exponential form is:
42066 = 21×33×191×411
Now multiplying the highest exponent prime factors to calculate the LCM of 42059 and 42066.
LCM(42059,42066) = 21×33×191×411×1371×3071
LCM(42059,42066) = 1769253894
Factors of 42059
List of positive integer factors of 42059 that divides 42059 without a remainder.
1, 137, 307, 42059
Factors of 42066
List of positive integer factors of 42066 that divides 42066 without a remainder.
1, 2, 3, 6, 9, 18, 19, 27, 38, 41, 54, 57, 82, 114, 123, 171, 246, 342, 369, 513, 738, 779, 1026, 1107, 1558, 2214, 2337, 4674, 7011, 14022, 21033, 42066
Least Common Multiple of 42059 and 42066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42059 and 42066, than apply into the LCM equation.
GCF(42059,42066) = 1
LCM(42059,42066) = ( 42059 × 42066) / 1
LCM(42059,42066) = 1769253894 / 1
LCM(42059,42066) = 1769253894
Properties of LCM 42059 and 42066
(i) The LCM of 42066 and 42059 is associative
LCM of 42059 and 42066 = LCM of 42066 and 42059
Related Least Common Multiples of 42059
Related Least Common Multiples of 42066
Frequently Asked Questions on LCM of 42059 and 42066
1. What is the LCM of 42059 and 42066?
Answer: LCM of 42059 and 42066 is 1769253894.
2. What are the Factors of 42059?
Answer: Factors of 42059 are 1, 137, 307, 42059. There are 4 integers that are factors of 42059. The greatest factor of 42059 is 42059.
3. What are the Factors of 42066?
Answer: Factors of 42066 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 41, 54, 57, 82, 114, 123, 171, 246, 342, 369, 513, 738, 779, 1026, 1107, 1558, 2214, 2337, 4674, 7011, 14022, 21033, 42066. There are 32 integers that are factors of 42066. The greatest factor of 42066 is 42066.
4. How to Find the LCM of 42059 and 42066?
Answer:
Least Common Multiple of 42059 and 42066 = 1769253894
Step 1: Find the prime factorization of 42059
42059 = 137 x 307
Step 2: Find the prime factorization of 42066
42066 = 2 x 3 x 3 x 3 x 19 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1769253894 = 2 x 3 x 3 x 3 x 19 x 41 x 137 x 307
Step 4: Therefore, the least common multiple of 42059 and 42066 is 1769253894.