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 |
|---|---|
| 139 and 153 | 21267 |
| 186 and 157 | 29202 |
| 68 and 159 | 10812 |
| 196 and 110 | 10780 |
| 187 and 137 | 25619 |