Least Common Multiple (LCM) of 190 and 187
The least common multiple (LCM) of 190 and 187 is 35530.
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 187?
First, calculate the GCD of 190 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 187 = 1 remainder 3 |
| 2 | 187 ÷ 3 = 62 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 71 | 4757 |
| 142 and 98 | 6958 |
| 116 and 79 | 9164 |
| 37 and 173 | 6401 |
| 122 and 150 | 9150 |