Least Common Multiple (LCM) of 151 and 59
The least common multiple (LCM) of 151 and 59 is 8909.
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 59?
First, calculate the GCD of 151 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 59 = 2 remainder 33 |
| 2 | 59 ÷ 33 = 1 remainder 26 |
| 3 | 33 ÷ 26 = 1 remainder 7 |
| 4 | 26 ÷ 7 = 3 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 15 | 255 |
| 42 and 48 | 336 |
| 188 and 122 | 11468 |
| 184 and 83 | 15272 |
| 154 and 24 | 1848 |