Least Common Multiple (LCM) of 85 and 119
The least common multiple (LCM) of 85 and 119 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 85 and 119?
First, calculate the GCD of 85 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 119 = 0 remainder 85 |
| 2 | 119 ÷ 85 = 1 remainder 34 |
| 3 | 85 ÷ 34 = 2 remainder 17 |
| 4 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 112 | 1232 |
| 167 and 72 | 12024 |
| 96 and 146 | 7008 |
| 137 and 152 | 20824 |
| 131 and 151 | 19781 |