Least Common Multiple (LCM) of 158 and 120
The least common multiple (LCM) of 158 and 120 is 9480.
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 120?
First, calculate the GCD of 158 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 120 = 1 remainder 38 |
| 2 | 120 ÷ 38 = 3 remainder 6 |
| 3 | 38 ÷ 6 = 6 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 54 | 378 |
| 43 and 11 | 473 |
| 189 and 188 | 35532 |
| 130 and 85 | 2210 |
| 111 and 146 | 16206 |