Least Common Multiple (LCM) of 59 and 151
The least common multiple (LCM) of 59 and 151 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 59 and 151?
First, calculate the GCD of 59 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 151 = 0 remainder 59 |
| 2 | 151 ÷ 59 = 2 remainder 33 |
| 3 | 59 ÷ 33 = 1 remainder 26 |
| 4 | 33 ÷ 26 = 1 remainder 7 |
| 5 | 26 ÷ 7 = 3 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 58 | 3132 |
| 153 and 68 | 612 |
| 17 and 176 | 2992 |
| 139 and 107 | 14873 |
| 124 and 69 | 8556 |