Least Common Multiple (LCM) of 157 and 158
The least common multiple (LCM) of 157 and 158 is 24806.
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 157 and 158?
First, calculate the GCD of 157 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 158 = 0 remainder 157 |
| 2 | 158 ÷ 157 = 1 remainder 1 |
| 3 | 157 ÷ 1 = 157 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 161 | 17710 |
| 176 and 19 | 3344 |
| 140 and 10 | 140 |
| 26 and 158 | 2054 |
| 149 and 50 | 7450 |