Least Common Multiple (LCM) of 152 and 112
The least common multiple (LCM) of 152 and 112 is 2128.
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 152 and 112?
First, calculate the GCD of 152 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 112 = 1 remainder 40 |
| 2 | 112 ÷ 40 = 2 remainder 32 |
| 3 | 40 ÷ 32 = 1 remainder 8 |
| 4 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 94 | 7238 |
| 39 and 114 | 1482 |
| 49 and 106 | 5194 |
| 108 and 83 | 8964 |
| 193 and 19 | 3667 |