Least Common Multiple (LCM) of 141 and 59
The least common multiple (LCM) of 141 and 59 is 8319.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 141 and 59?
First, calculate the GCD of 141 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 59 = 2 remainder 23 |
| 2 | 59 ÷ 23 = 2 remainder 13 |
| 3 | 23 ÷ 13 = 1 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 41 | 4100 |
| 45 and 38 | 1710 |
| 134 and 162 | 10854 |
| 106 and 165 | 17490 |
| 39 and 111 | 1443 |