Least Common Multiple (LCM) of 159 and 151
The least common multiple (LCM) of 159 and 151 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 159 and 151?
First, calculate the GCD of 159 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 151 = 1 remainder 8 |
| 2 | 151 ÷ 8 = 18 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 79 | 13114 |
| 38 and 35 | 1330 |
| 177 and 101 | 17877 |
| 84 and 91 | 1092 |
| 189 and 190 | 35910 |