Least Common Multiple (LCM) of 122 and 156
The least common multiple (LCM) of 122 and 156 is 9516.
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 156?
First, calculate the GCD of 122 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 156 = 0 remainder 122 |
| 2 | 156 ÷ 122 = 1 remainder 34 |
| 3 | 122 ÷ 34 = 3 remainder 20 |
| 4 | 34 ÷ 20 = 1 remainder 14 |
| 5 | 20 ÷ 14 = 1 remainder 6 |
| 6 | 14 ÷ 6 = 2 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 137 | 6713 |
| 13 and 17 | 221 |
| 38 and 80 | 1520 |
| 98 and 142 | 6958 |
| 15 and 101 | 1515 |