Least Common Multiple (LCM) of 151 and 161
The least common multiple (LCM) of 151 and 161 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 151 and 161?
First, calculate the GCD of 151 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 161 = 0 remainder 151 |
| 2 | 161 ÷ 151 = 1 remainder 10 |
| 3 | 151 ÷ 10 = 15 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 172 | 6536 |
| 130 and 130 | 130 |
| 156 and 141 | 7332 |
| 125 and 120 | 3000 |
| 102 and 89 | 9078 |