Least Common Multiple (LCM) of 95 and 59
The least common multiple (LCM) of 95 and 59 is 5605.
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 59?
First, calculate the GCD of 95 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 59 = 1 remainder 36 |
| 2 | 59 ÷ 36 = 1 remainder 23 |
| 3 | 36 ÷ 23 = 1 remainder 13 |
| 4 | 23 ÷ 13 = 1 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 12 | 228 |
| 135 and 86 | 11610 |
| 152 and 183 | 27816 |
| 25 and 31 | 775 |
| 169 and 105 | 17745 |