Least Common Multiple (LCM) of 119 and 85
The least common multiple (LCM) of 119 and 85 is 595.
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 85?
First, calculate the GCD of 119 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 85 = 1 remainder 34 |
| 2 | 85 ÷ 34 = 2 remainder 17 |
| 3 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 108 | 1836 |
| 140 and 31 | 4340 |
| 149 and 117 | 17433 |
| 184 and 69 | 552 |
| 199 and 135 | 26865 |