Least Common Multiple (LCM) of 119 and 66
The least common multiple (LCM) of 119 and 66 is 7854.
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 66?
First, calculate the GCD of 119 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 66 = 1 remainder 53 |
| 2 | 66 ÷ 53 = 1 remainder 13 |
| 3 | 53 ÷ 13 = 4 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 136 | 2040 |
| 104 and 171 | 17784 |
| 86 and 162 | 6966 |
| 21 and 40 | 840 |
| 182 and 103 | 18746 |