Least Common Multiple (LCM) of 119 and 60
The least common multiple (LCM) of 119 and 60 is 7140.
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 119 and 60?
First, calculate the GCD of 119 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 60 = 1 remainder 59 |
| 2 | 60 ÷ 59 = 1 remainder 1 |
| 3 | 59 ÷ 1 = 59 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 120 | 600 |
| 147 and 180 | 8820 |
| 179 and 123 | 22017 |
| 104 and 168 | 2184 |
| 97 and 158 | 15326 |