Least Common Multiple (LCM) of 101 and 85
The least common multiple (LCM) of 101 and 85 is 8585.
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 101 and 85?
First, calculate the GCD of 101 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 85 = 1 remainder 16 |
| 2 | 85 ÷ 16 = 5 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 41 | 6232 |
| 135 and 39 | 1755 |
| 178 and 75 | 13350 |
| 55 and 26 | 1430 |
| 48 and 180 | 720 |