Least Common Multiple (LCM) of 95 and 119
The least common multiple (LCM) of 95 and 119 is 11305.
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 119?
First, calculate the GCD of 95 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 119 = 0 remainder 95 |
| 2 | 119 ÷ 95 = 1 remainder 24 |
| 3 | 95 ÷ 24 = 3 remainder 23 |
| 4 | 24 ÷ 23 = 1 remainder 1 |
| 5 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 184 | 8280 |
| 81 and 14 | 1134 |
| 135 and 106 | 14310 |
| 191 and 196 | 37436 |
| 60 and 179 | 10740 |