Least Common Multiple (LCM) of 153 and 114
The least common multiple (LCM) of 153 and 114 is 5814.
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 114?
First, calculate the GCD of 153 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 114 = 1 remainder 39 |
| 2 | 114 ÷ 39 = 2 remainder 36 |
| 3 | 39 ÷ 36 = 1 remainder 3 |
| 4 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 116 | 8236 |
| 49 and 194 | 9506 |
| 31 and 138 | 4278 |
| 82 and 164 | 164 |
| 54 and 55 | 2970 |