Least Common Multiple (LCM) of 187 and 119
The least common multiple (LCM) of 187 and 119 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 187 and 119?
First, calculate the GCD of 187 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 119 = 1 remainder 68 |
| 2 | 119 ÷ 68 = 1 remainder 51 |
| 3 | 68 ÷ 51 = 1 remainder 17 |
| 4 | 51 ÷ 17 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 152 | 1672 |
| 108 and 107 | 11556 |
| 189 and 153 | 3213 |
| 106 and 176 | 9328 |
| 120 and 129 | 5160 |