Least Common Multiple (LCM) of 153 and 116
The least common multiple (LCM) of 153 and 116 is 17748.
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 153 and 116?
First, calculate the GCD of 153 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 116 = 1 remainder 37 |
| 2 | 116 ÷ 37 = 3 remainder 5 |
| 3 | 37 ÷ 5 = 7 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 195 | 34710 |
| 91 and 188 | 17108 |
| 91 and 101 | 9191 |
| 23 and 16 | 368 |
| 37 and 46 | 1702 |