Least Common Multiple (LCM) of 190 and 60
The least common multiple (LCM) of 190 and 60 is 1140.
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 190 and 60?
First, calculate the GCD of 190 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 60 = 3 remainder 10 |
| 2 | 60 ÷ 10 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 144 | 24336 |
| 164 and 88 | 3608 |
| 98 and 113 | 11074 |
| 25 and 190 | 950 |
| 141 and 151 | 21291 |