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 |
|---|---|
| 156 and 73 | 11388 |
| 115 and 163 | 18745 |
| 91 and 11 | 1001 |
| 62 and 152 | 4712 |
| 27 and 72 | 216 |