Least Common Multiple (LCM) of 119 and 11
The least common multiple (LCM) of 119 and 11 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 11?
First, calculate the GCD of 119 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 11 = 10 remainder 9 |
| 2 | 11 ÷ 9 = 1 remainder 2 |
| 3 | 9 ÷ 2 = 4 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 46 | 3772 |
| 63 and 34 | 2142 |
| 67 and 70 | 4690 |
| 124 and 115 | 14260 |
| 166 and 15 | 2490 |