Least Common Multiple (LCM) of 95 and 137
The least common multiple (LCM) of 95 and 137 is 13015.
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 137?
First, calculate the GCD of 95 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 137 = 0 remainder 95 |
| 2 | 137 ÷ 95 = 1 remainder 42 |
| 3 | 95 ÷ 42 = 2 remainder 11 |
| 4 | 42 ÷ 11 = 3 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 195 | 20865 |
| 172 and 134 | 11524 |
| 111 and 44 | 4884 |
| 15 and 80 | 240 |
| 116 and 183 | 21228 |