Least Common Multiple (LCM) of 119 and 61
The least common multiple (LCM) of 119 and 61 is 7259.
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 61?
First, calculate the GCD of 119 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 61 = 1 remainder 58 |
| 2 | 61 ÷ 58 = 1 remainder 3 |
| 3 | 58 ÷ 3 = 19 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 120 | 1080 |
| 190 and 97 | 18430 |
| 55 and 90 | 990 |
| 47 and 120 | 5640 |
| 138 and 67 | 9246 |