Least Common Multiple (LCM) of 114 and 153
The least common multiple (LCM) of 114 and 153 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 114 and 153?
First, calculate the GCD of 114 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 153 = 0 remainder 114 |
| 2 | 153 ÷ 114 = 1 remainder 39 |
| 3 | 114 ÷ 39 = 2 remainder 36 |
| 4 | 39 ÷ 36 = 1 remainder 3 |
| 5 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 160 | 7520 |
| 32 and 83 | 2656 |
| 50 and 145 | 1450 |
| 57 and 72 | 1368 |
| 194 and 190 | 18430 |