Least Common Multiple (LCM) of 158 and 150
The least common multiple (LCM) of 158 and 150 is 11850.
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 150?
First, calculate the GCD of 158 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 150 = 1 remainder 8 |
| 2 | 150 ÷ 8 = 18 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 70 | 3710 |
| 125 and 57 | 7125 |
| 199 and 46 | 9154 |
| 44 and 168 | 1848 |
| 161 and 117 | 18837 |