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 |
|---|---|
| 172 and 42 | 3612 |
| 113 and 87 | 9831 |
| 165 and 133 | 21945 |
| 14 and 176 | 1232 |
| 156 and 135 | 7020 |