Least Common Multiple (LCM) of 119 and 187
The least common multiple (LCM) of 119 and 187 is 1309.
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 187?
First, calculate the GCD of 119 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 187 = 0 remainder 119 |
| 2 | 187 ÷ 119 = 1 remainder 68 |
| 3 | 119 ÷ 68 = 1 remainder 51 |
| 4 | 68 ÷ 51 = 1 remainder 17 |
| 5 | 51 ÷ 17 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 63 | 10836 |
| 168 and 140 | 840 |
| 80 and 134 | 5360 |
| 76 and 179 | 13604 |
| 140 and 177 | 24780 |