Least Common Multiple (LCM) of 152 and 163
The least common multiple (LCM) of 152 and 163 is 24776.
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 163?
First, calculate the GCD of 152 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 163 = 0 remainder 152 |
| 2 | 163 ÷ 152 = 1 remainder 11 |
| 3 | 152 ÷ 11 = 13 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 79 | 10112 |
| 55 and 50 | 550 |
| 126 and 75 | 3150 |
| 116 and 121 | 14036 |
| 164 and 138 | 11316 |