Least Common Multiple (LCM) of 158 and 153
The least common multiple (LCM) of 158 and 153 is 24174.
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 158 and 153?
First, calculate the GCD of 158 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 153 = 1 remainder 5 |
| 2 | 153 ÷ 5 = 30 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 130 | 10270 |
| 141 and 78 | 3666 |
| 110 and 140 | 1540 |
| 178 and 13 | 2314 |
| 40 and 13 | 520 |