Least Common Multiple (LCM) of 151 and 159
The least common multiple (LCM) of 151 and 159 is 24009.
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 159?
First, calculate the GCD of 151 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 159 = 0 remainder 151 |
| 2 | 159 ÷ 151 = 1 remainder 8 |
| 3 | 151 ÷ 8 = 18 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 164 | 23124 |
| 177 and 10 | 1770 |
| 148 and 107 | 15836 |
| 89 and 188 | 16732 |
| 18 and 198 | 198 |