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 |
|---|---|
| 164 and 20 | 820 |
| 160 and 181 | 28960 |
| 70 and 25 | 350 |
| 135 and 34 | 4590 |
| 144 and 182 | 13104 |