Least Common Multiple (LCM) of 155 and 85
The least common multiple (LCM) of 155 and 85 is 2635.
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 155 and 85?
First, calculate the GCD of 155 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 85 = 1 remainder 70 |
| 2 | 85 ÷ 70 = 1 remainder 15 |
| 3 | 70 ÷ 15 = 4 remainder 10 |
| 4 | 15 ÷ 10 = 1 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 156 | 3588 |
| 84 and 66 | 924 |
| 169 and 120 | 20280 |
| 124 and 50 | 3100 |
| 165 and 25 | 825 |