Least Common Multiple (LCM) of 114 and 152
The least common multiple (LCM) of 114 and 152 is 456.
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 152?
First, calculate the GCD of 114 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 152 = 0 remainder 114 |
| 2 | 152 ÷ 114 = 1 remainder 38 |
| 3 | 114 ÷ 38 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 21 | 1722 |
| 192 and 27 | 1728 |
| 146 and 132 | 9636 |
| 39 and 189 | 2457 |
| 125 and 65 | 1625 |