Least Common Multiple (LCM) of 190 and 76
The least common multiple (LCM) of 190 and 76 is 380.
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 76?
First, calculate the GCD of 190 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 76 = 2 remainder 38 |
| 2 | 76 ÷ 38 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 100 | 13900 |
| 81 and 57 | 1539 |
| 192 and 188 | 9024 |
| 167 and 171 | 28557 |
| 149 and 134 | 19966 |