Least Common Multiple (LCM) of 152 and 122
The least common multiple (LCM) of 152 and 122 is 9272.
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 152 and 122?
First, calculate the GCD of 152 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 122 = 1 remainder 30 |
| 2 | 122 ÷ 30 = 4 remainder 2 |
| 3 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 36 | 684 |
| 184 and 184 | 184 |
| 194 and 84 | 8148 |
| 135 and 105 | 945 |
| 198 and 37 | 7326 |