Least Common Multiple (LCM) of 120 and 152
The least common multiple (LCM) of 120 and 152 is 2280.
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 120 and 152?
First, calculate the GCD of 120 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 152 = 0 remainder 120 |
| 2 | 152 ÷ 120 = 1 remainder 32 |
| 3 | 120 ÷ 32 = 3 remainder 24 |
| 4 | 32 ÷ 24 = 1 remainder 8 |
| 5 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 147 | 27195 |
| 43 and 167 | 7181 |
| 174 and 47 | 8178 |
| 190 and 34 | 3230 |
| 165 and 166 | 27390 |