Least Common Multiple (LCM) of 120 and 95
The least common multiple (LCM) of 120 and 95 is 2280.
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 120 and 95?
First, calculate the GCD of 120 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 95 = 1 remainder 25 |
| 2 | 95 ÷ 25 = 3 remainder 20 |
| 3 | 25 ÷ 20 = 1 remainder 5 |
| 4 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 141 | 9024 |
| 112 and 155 | 17360 |
| 61 and 153 | 9333 |
| 77 and 22 | 154 |
| 146 and 95 | 13870 |