Least Common Multiple (LCM) of 95 and 141
The least common multiple (LCM) of 95 and 141 is 13395.
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 95 and 141?
First, calculate the GCD of 95 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 141 = 0 remainder 95 |
| 2 | 141 ÷ 95 = 1 remainder 46 |
| 3 | 95 ÷ 46 = 2 remainder 3 |
| 4 | 46 ÷ 3 = 15 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 82 | 14678 |
| 70 and 114 | 3990 |
| 120 and 121 | 14520 |
| 135 and 75 | 675 |
| 77 and 40 | 3080 |