Least Common Multiple (LCM) of 119 and 97
The least common multiple (LCM) of 119 and 97 is 11543.
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 97?
First, calculate the GCD of 119 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 97 = 1 remainder 22 |
| 2 | 97 ÷ 22 = 4 remainder 9 |
| 3 | 22 ÷ 9 = 2 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 50 | 900 |
| 98 and 141 | 13818 |
| 199 and 128 | 25472 |
| 190 and 175 | 6650 |
| 56 and 71 | 3976 |