Least Common Multiple (LCM) of 161 and 151
The least common multiple (LCM) of 161 and 151 is 24311.
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 161 and 151?
First, calculate the GCD of 161 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 151 = 1 remainder 10 |
| 2 | 151 ÷ 10 = 15 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 142 | 15194 |
| 75 and 35 | 525 |
| 100 and 188 | 4700 |
| 115 and 35 | 805 |
| 12 and 106 | 636 |