Least Common Multiple (LCM) of 122 and 152
The least common multiple (LCM) of 122 and 152 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 122 and 152?
First, calculate the GCD of 122 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 152 = 0 remainder 122 |
| 2 | 152 ÷ 122 = 1 remainder 30 |
| 3 | 122 ÷ 30 = 4 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 199 | 37412 |
| 49 and 180 | 8820 |
| 157 and 20 | 3140 |
| 77 and 192 | 14784 |
| 114 and 29 | 3306 |