Least Common Multiple (LCM) of 151 and 116
The least common multiple (LCM) of 151 and 116 is 17516.
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 116?
First, calculate the GCD of 151 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 116 = 1 remainder 35 |
| 2 | 116 ÷ 35 = 3 remainder 11 |
| 3 | 35 ÷ 11 = 3 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 182 | 35126 |
| 119 and 154 | 2618 |
| 198 and 103 | 20394 |
| 159 and 131 | 20829 |
| 175 and 134 | 23450 |